11060 Matrix Advance.ipynb

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WA+qKo6Y2i4AIiIAIlCcB0lpXvW9NU//b4g8+Y02vFdqZ0oUwq3a08G5jrPo/x1rslH0s76xJJHbF626vzHtsw9WPWuqDzywTT+dnyFQat5VKyM3J7P61Iy26q9taRXMyy/OeU69EQAREoJ0ISDTbCayKFQEREAEREIG2EGBhoOTdP7P4vU9YYl4h0eR3vS3U61Sr/u/JFjtjsOXNnnUCa8vmuwWHbrf1V7o5oCvWF24aW6nsMdTCp3/Penx9sEVcaq4OERABERABEdgaAhLNraGlc0VABESggwmwWBtfK1assDVr1gQrhG+//fZ5W8G58Xjcmpqagnn34XA4+GKKRCQS6TJz8dPpdNAH+kM//Hc6zu843NQPW7ZsmSUSCdtjjz2sV69eQR+bO7i+0NHcYnhck3Krs8KTOmOxWPDlD896w4YN1qNHj82/4/Nk0kUm3XfaQxmMH2PQp0+f4HvBNjautfSc263pQbe/5eNvW2odnW7uCkSzm4V6DHHbnZxrsXFuy5EBPb54olvVNrRmiaUXzLL49Gnu601Lr4vnx0E0s99eFj7iJKsaO9Fqjutv4R6b+r01iwbCgLHx9x73YWuOramjNeXpHBEQAREQgdIQkGiWhrtqFQEREIFWEfCy89JLL9nChQtt6NChtu++++a9lvNXr15t9fX1geTwMw/63bt3D+bi55OcVjWmA09CUBBJZBNBQdb47nnQlKVLl9o//vGP4LwJEybY3nvvbdXV1YUlLk8f8olmY2NjIPjUD8OePXtuLgH5hDWyu+uuu9p2220X/A7Bok18Z7E9znMrvAfXH3bYYcE4+Pq8UHMd47VpzFIWSSyz1Iz7rOkvf7HEggZLNxZIc4258oZOtqoJY63WRTVDTNXcHAh118Wdqc5/wOL3TLOGKQsKj2LIiXo3t6rs8edY1Xi3fcqoQZj95vb6drckg4wTAr5y5cqgv/7+yyf82eW1VHZuB7b2/A68jVWVCIiACFQ0AYlmRQ+/Oi8CItDZCfiIJg/tSA8P7MhLoQN54Wvjxo323nvvBdLZr18/GzBggHXr1q2zdzlo3/r1623JkiX22WefbY5oImG+bwjfDjvsEIgzEsi/swUuu5MtRTP9uc0Ji6+PMhDd3HP4PUJZVVUV/J6DcaLtcEc+iUK/+eabwbjxkgAZ9lFahPSDDz4IBJNoJ/0IjnSjhT991TIznRz+anqwAm3emCwRyB4uUnrKJKu64EcW28uJYRCAdFc01Vvok5nWeO1dlnhknqXq864utMlO63pZ+MQLLTZpmFUdNdBC3aoCZ80VzJbkzkfhX3nlFaurq7Pdd9894JDvuraIZktt6BI3uhopAiIgAmVMQKJZxoOrromACHR9AogM0oVMIVKkbmY/YPNAT9QPsfnkk09szz33DLar4uBzRIbooI8qdZWIJm1H1EhbDZTp8xRa/29kDYFB8HzUNp94tFY0s++W3LIKlZH7O8aKttMHxos2IpO0mbFhDLxoMrYffvhhcA4vEUjB5bymRNwWvvK8ffjcdDtp/SoLP/OOJd/7LP8NHXZlDjjEIsMmWuzbp1l0QJ2FMysss/hFa7rZbWUy8w1LLV1dQFadRJMue/goq5o0wqIHuXTZHTatRk9bc0WwJcmDSUNDg61atWpzRJ3x4n6Gzdq1a4N7mhcGfGWnJBcqu6V6u/5fvHogAiIgAuVDQKJZPmOpnoiACJQZAZ8mikQiizvvvHPwUO5TSIlyIpdICumdCMvAgQNtr7322hzd48GeqCDXM4eRh/3WPKxTNpKALBGV4zo+Y64hokAbiI7utNNO1ru3W5CGqNo2HP765oQOIUGYkRMkDBmjT/yMiNJ/PuMgikuf4YToeEmnfH8tUkPUER60nfLhx5efi8m/YZZ9DeX5FFquJwpJ3ZRNObnbhPm5mrT13XffDcqDGZFNxpKD8Xv//feDcn2q7ZAhQ4Ky5s1z6dLzn7NzDu9vdQ88bKmZb7rIZj7Ijn+4p5PFA63q3G9Y1fBdLJJ08zsfvtfiU+dYanWBiCiR2oGDLXPYCZY4ZpitGOii4aFE0B5/MPb0B870F678DGcYcN8RNfeHH0d/D5NezL0Dt48//tg++uijYHz69u1r+++/f/CChD5zD1MH85B9XYVeAGzDLadLRUAEREAE2pmARLOdAat4ERABEWgLAf+gzsP+vHnzAslDIBE7HuwREx7WH3/88SBKRkom8+GQGqQHkfFSyfXMJTz44IODuYSIVr5Fc2grdSO3zz33nH366aeBBPTv3z+YE8lc0eXLlweCQb3Dhg2zQw455AtRr9w++xRg2o1w8TMS50WtufOzJYfUU9IwkRHSMN944w17++23gz7TFj5DgGgvskiaMKKM4PAz9SIuCBHizO8OOuigYM4rB+XNnz8/kE3Ko2zkFuFh7idSSlkIFgsPIU1wpEzKhy1l8xly7ufDIr5I5oIFC4Lx4noimtSLrFPvO++8EzChPsr79re/HYw1fUPKDtnbtXnOny0z/SlLzHaCh/81m0eL7DvZ7HasVZ2/r5vn6fbM/PO9lsy4xZTy3YTMCe3Zz+pP+LKtO+YoW7XTenvmmWeCepFC2so4MeYw5P5B7v0iTKTDIs9f/vKX7YQTTtj8wsGPt4/IP/bYY/bCCy8EbLiPiPDCAq7MWz399NOD1OHp06cH4nn44Yfbbrvt9oX7dFtfaLTlb1HXiIAIiIAItI2ARLNt3HSVCIiACLQrAS+aPKgT9eIhnwdxPw8RAUVgpk6daoMGDQrkkod0pJLfIV5HHHFE8NDOgjlIy8iRI4OfOReBypdGiwzMmjXLrr/+epszZ85m2aBcvihj+PDhgYAhWAhBIQHwfaFcBO21114LpArBQKiauzY7Ikb/H374YXvwwQeDOafIHJKCfPvUWqKEfCHiiOTixYuD6CZsEMCXX345kHC/4A7nHnvssTZp0iQ78sgjA9m744477KGH3EqvTvpIY+V6zoMjvKibKCr9p3z6w4GUIeKjRo2ywYMHB2Udc8wxQd/oB+3nM+SMMmbMmBFEhamHMpBL6qCtCDISisDRVnhXx8JWvWGJZR6/x+I3udVolzhx3FR1M4ebJxpyiwP1ZJKmO2mtE9N8pxKF7rWjpcZfZtcves6mvz3L6uPrA9mmXjgyxscdd1xw3/no5Kuvvhrci4wBAsl4/PSnP7XzzjtvC9HknoUh9+Qtt9wSMEBGKddH5bm/n3766eBlBhFRXmQwJowNLzJyV6qVaLbr/3ZUuAiIgAgUlYBEs6g4VZgIiIAIFIeAFy0e1onmkWaI0LFYjF9NFllDNhEVziMC+dRTTwWRMyKFRDSJNhGd5CF+4sSJwXfSFREIZCr7QZ6HfuSHyN6UKVPs2WefDcoguoRwIUoI15e+9CU74IADAmElItXSAkO+L8gV4orM0Z8RI0YEwkqf8s2J5FrSKZFMIm3UdfTRRwdy46NmRN5IPyU6CAsEhUgvB3JNPUQ6qR9mnMcXUnj22WcHUoi0whkpoiwEFjmlz6eccoqdeuqpAQs+p8+IJr9HjOBLBHnMmDGBICGjhx566Oa5sj6FlzqQtN/97ndBxJQ+Mwb0hYgg1yKscIW3jzpn3PYkqfgai74/1yJPPGANN8+19JrG/ALZmlsw7La62W2whYdPtNDIY2za67Ns+oyH7fXXXw/6CSui5Oeff34QxfSr+XKf8dKCdsNy5syZwdicccYZds4552x+ccDYcB587r333uDfiDerAzNGfqsdzuMepk7GCNkfN25cECnnBUFu5F2i2ZrB1TkiIAIi0DkISDQ7xzioFSIgAiKwBYFs0URkkCm/h+Y/BWTTHps8fBOt46H+gQceCKJICCGShDwhajzkIwPIFamfSCsP99kP8kgmD/v3339/8EVUC2Ei2oZ4ICE8/CNvlNHS6rd0KFsyiWTSvieffDKo9/jjj7fJkycHEcVCokn/kdNFixYFEdQzzzxz04I5LhpIG4nAEbUlMoY4I2tEdxEaomznnntu8LlfHAkhv/XWW4MU2bPOOiuQSMSc/vv0YPo6d+7cIFp51FFH2aWXXhrItT8QJ4TcCzDzKhFwIn0wRJT22WefzSvMch2S9tZbb9lNN90UyJVPYSbSR7osXInIZrPw+3gu+2Spffr+AgstmmOD571rkdc+ttSnG9r2V4Nk7u62QTl+lEXOGGfRfevs9XfesGnTptl9990XRByR6RNPPNEuuuiiIKLtV9z1ixjxMwKNcP/Xf/1XEJFEtIl++nPgwIuFP/zhD8HLBPqHRNLv7PL8XFDu1b+47VwOPPDAQP7hl7v3q0SzbUOuq0RABESgFAQkmqWgrjpFQAREoACBtqySSkrq7Nmz7a677goiUYgOEnDnnXcGUTrkgYjZxRdfHKRm+gf27BVFiVARpUMGESFkFKHkHCSRKCCyhbiR9kpUi6Ol1V7pD5J4++2329133x3IHCJDqui3vvWtQAZzUySzU2eRM0STiCACctJJJwXSSJ+Ze4rQvPjii0EbuQ454WeijF40EUl/cN7VV18dyDny89WvfjUQQh8ZfeKJJ+zRRx8N5JrriABffvnlQWQ3u52055FHHrHf/OY3wRxDIn+UzVxE+kU7udZLFdLIXEfSkmkzAoewwvsb3/hGkHrrRROmRJiJoCK7CNusmc/ahhWL7T9O3892fvpti8z/2DIN/1ywp1V/VE4yrYdr04TvWPj0Uy16cLegHcyZRDKvu+66gC1RXKKPRJxhk/1CAk58hjDC6IorrgiknhcHfp4m40Db6S+seamBhHIOTCkPLtk8uS94WQBXXnDwUiF7Dm/u6ret6q9OEgEREAERKBkBiWbJ0KtiERABEWieQFtEk6geaZmkjDI/c7/99gsWzyEyuXDhwuCBnWjm9773vS0Wbcl+eCfy+ec//3lz+iTzCX0aLiLh01bHjh0bSIAXzXyy6fuBmCBKf/zjHw2J86vCkiJKJO8733HS8/kelJ5I9uJByC+CSlsRICJtSDERXPqG0CBLtIdFfpBMorlE0YjiIsZeNH0qLnM+mWOI0CBAtAkx5/PbbrstEEFkGFllTiaCTqQt++B6RPNnP/tZUJcXI2STVFjainx60SRyxxj99re/DeSRiCBsiAx7MSVqTVu4hu/0A8mmXcEWKVUR698jYj8Y0suGropbfMay1v8ZMSeze1+zEy+w0Hi3GNGhO1ukNhrUjwSTzktdsPYp0qQd83KBsYcdEsgYci/xOdFzIrS0lcWVGBsf0SSFmHsIsfYc6Z/flsbLpu8A5/NSgQgvqd3U4UWzuRcjre+4zhQBERABESgFAYlmKairThEQAREoQKAtoslDOpFL5lYimkTfSP9kfhzRRKKHp512mo0fPz6QUJ8O6SWRyCCRuL/+9a/Bwi+cgyA8//zzgWAgW0QxefhHzvgZYfBHoQV9kELKQeBYCIc5lD5SRsopMkOd2bKZvRgSUT/6RpSVvhEp5CBa5leZRdiQTuZxIsxEdWkTbf3mN7+5eZ9GykWOWKAH8UOoiDoSxUPkiAojxcgXZfNFX5Hh7NRZxApmpJteeeWVRj+QLISMMojsETlGsLJFEwlFNGkrY0Y5CPeFF15oJ598cjCHls9oOyLK+ddee20QaYYjcrZ9XdT+e/QgO6XBrPHhpa3/W0I0e+7kJq5eZumxB1njHtWBpJNqTFsYm5tvvjmIFHMQ0aZPpBeTEkxqMWNB/1hpGPH2i1LBFTEnIsvhhZ40aWScg1Rl2s8cW9KMSbfNXpCK6CiyDxt+R/kSzdYPr84UAREQgc5GQKLZ2UZE7REBEah4Am0RTeSJCCbRJaJGPMwzt5EUUKKdXhB5gCcdFrnITidFskhbRDZ4wGdeIqmyfrEbUm8pE5FAQBArIojZgplvniVz70gPZU4jkTzkD6ki2sVBmi9im72oUDYDvxcokS7SNRE+vvu9J+m7n/9JRJd2EU1EXGgrksj5XoCau8H8XPk+kbwAACAASURBVE/SN5FL6mcxJOZ+wo4ysiOaiC39ItLIecyBpV3IFEKI6POZX2HVp8ISISZqyKJNiDPlIHEXXHBBwMRHNGkj44ag/+IXv9i8vQjl9OnV3a4470Q7xe112fTATEt94sSupQxaJLPGLbq0+6EWPfd8i7u9OT/OrA6kHOlDNHkpwXxKIpMwJYpNtBfRRMZhQ3sQQVKOSWPOd8CPCOnf//73zYs/Idz0l/uIa7mH/HYz3Iv8DsnlJQDCzT3qRTQ78q55mhX/v0gBEAER6CIEJJpdZKDUTBEQgcoh0BbR9KmPRKSIDvIwT0SMVE0ki6iZX3kViUTuiOZxIHJEPYkGEqXj90QvaQdiiExRDpJKFJPoKBFJyvRpks2NDtcjDwgMKblIF9t3IJUIK/KJDJOKS6pp9nYW2QyyxcIvfpRdHwJEHffcc0+wYiwprEgM0TfaiiT6VVPzsfV7bcIMUUS8KZPoHdL43e9+dwvRhBMLDsEMISO6ihgiZMzXJJqJLPn0UN8HIogIJtFdFiWiHFiwuitM+Tdt9NvaIKTXXHPN5hRbxAvuP770IjuxboWl7vi1Nc502520tC5QOGo24AiLnHi+1fxgqK2varI3XMQbQYc/EkjkkcV4aD/t5DPkmbm99JGXDqQ/k84LD+ZwFhJN+glDXl7QH8aA1Fu+EzFGxFmIiTp4OQArv5pw7nzM7NRZ6uR+p0x4SDwr5/+N6qkIiEDXIiDR7FrjpdaKgAhUAIG2iCYSSarr3/72t2B+G4vgIG6IHlE5UjyJKPIzIvGVr3wlED6klId/hIkVVImuIR6kQS5YsCBI2URGiHwhA6RMjh49OohIEb3jyNdeIoqk4zLnj3+T8kpED2EhSkhbaBPi9P3vfz8QOupoTiYLDTtlIpm0nxRYyoYH0kjqZ7Zo+vbmyitpoQgUETvmINI2onxE9hChSy65JCjXH8wFRaJYmZbfc53fGoQIIHNDkVy/4A31IUdEcVmgiXmkRFERd/gzj5SIJlE8DtrOmLD/JGOAnDE28EmlmuwH3znbjk+tsMQff2eJN51oxlv4w4i6lV6PGWvRC35q4YPDtjG9IZij6rdroZ2kDCPAvFBgxVfaxdgTbWUOKi8F6C8RcV5EEI0sJJq8AGCfzd///vdBlJJxhTPRSwSRtGLuI6Sclx7cB9yT2ash55NIxpex4cVFvv1gK+B/FeqiCIiACHRqAhLNTj08apwIiEAlEmiLaCKCfk4lqanIIFEjFlchfZE5jjzgUzaCyBxCZAhZIBKH1BBhIxLIXE6/0ixzPpFFDiKSRDsRVZ866xft8ePk245UEQ1FMrmeCCvXIq+ktyIVSCHpuYgC8yhJx6Q9WyOanItosugRKay0EVEiZZjy2QolVzSz7ynffr/iLOnDiCYChszwOdFfFush2sZnyA1SyiqtnE8Uk/NI/YULW3gg+0QBs1dWRSyJlBLJRTThThQPiWTVWVZkRfA5kDzOI4JIOint4dw99hhoF5w/zo6OLrPecxdY4uG3LFXvLki18JcScZG/vY9325lcbLFz9rHGWNLirs1+4SEkmegpY0XaMXUR5ealAO3iXqK9tAueSLd/0ZCvZs5FMBlj+o0wMy5cSz8RRWSUdGHGDWFnL074wqRQpJI0cbiQ9ouYKqpZif+nVJ9FQAQ6OwGJZmcfIbVPBESg4gi0RTR56EYqEU4kh3l2iA0P+QgRkUOkB9nkoZ5IEjJK1JO5dEQ9iTqSJoksISBE32688cYgWkc0jS9kgHl7fOcBP1s0s9tNtIxoGNut8G+2EEEA+Yw5iqS4IoI+0jVx4sRgLiDzIFsrmr4+hJa0T9pJf2gbgkt/ic6S4plvjib9pBy/XQoCg3DDhDmYyBXijnyRUosYwZZ6kMWZM2cG0owcEQUk0kfU14tStgAxHqTzUj7pyPBlPPw2L+wn6tuJuJK2y9gh0nytX19vB+7ez665+FTr/cLzlnjmLUtumuba8hEKu9V4drPQgW67kgsnWnq/vpbqvmllW/rPoj2MCzKIWBLNZfsX2se4+4OIKv3nHO6z1hyUz/xaouo33HBDIO6UC0sW/6ENRDRZ6Mnv28piTtSbuxqxr4/xoX2kSSPBEs3WjITOEQEREIGOJSDR7Fjeqk0EREAEWiTQWtH05/GQjcQgQogbMkBaol9gBYlkD0sifkSqiGQiYIgf0on4ENFC0BAl0iQpk7LuuOOOIKrFZzz4I1SIVK5o5rYZ+SNKioghEMxB5HrmMpJyioBSB4KHaDBXb9KkSYE4eNEsJA++Pr4jb9TjhRgRQtKQF6QGecneB9KX7+dCZm8nQsQSHkRIiQIjmpSDWCLiMCF19KKLLgrSQBEe6iPlE+Y+upY9x9DXwxhRBjLLXEgW1aFs2kdEE66+z0SEqQsx5yXBm2+8bsn1q21Iz4R9rfZDq3s5ZcmtWHA2uOn89ibDL7DqScdb9PABFqreJJu+zwg79wTRRvpECraXXyK0fP3yl78M5tQi8K0VPO4vItlENBFyJJv+cT/RV+azci8wbkTUuReIVvq5tS3+0egEERABERCBTkdAotnphkQNEgERqHQCrRXNbE5EDZEehIF5fkQmibRxIIrMvSOihOghRsgNoumjSyxKg0D5tEWu41zSbpn7iBQga0SykIDc1NncNvtoJjJGqi0Ci6QgFbSRRYsok4gVqZNIBW0hupe7gE5z90Nu9JSIGWm5zCGkv8gnQoMo0V6fNkxZ2RFTJMtH9WCIECGZSCtSyII1RH7pL/MySWdlESA40TfmuE6ePDmYC4qM+m1jskXT14FI+bm0zF0kYkoZfg4oY0Z0jgPRI+qJkHLNmhUf25hdM3b5fj0sNjdloTWZlleabQ5cOGLWo6+FJ1xs1eNdevVh2wX9R2a5Pxhr+kG0kT6yzylzZ0kL5jwY/OQnPwlSXJHNQoePdjPG9JM+wZiXEPSfFxH+fuQeQMSJ3JImzMsQtuJBQPNFNSv9/xPqvwiIgAh0dgISzc4+QmqfCIhAxRFoSTSbiyIhVsyvI1qIQBJtQhgQLOSAiB8L5iB5zI9DRinHb8mBlJIeipwhS8yvQ4T8PESEgM85h4VriL4hH14mstuMSFAf4kd0jCgldRKdQswQYkSDOryY8Tu+EFIWxSH6mb39Su5NkF0fIoa0MEeVukk7JSWTPiJELHzkVzP17fUMvQQiwDBEMOGEBHMgW8xnJcpG26mHBZeIHiNOyBF9REg5D1mm7ciyl01fJ3XRNuZ3IsZE9+DA9T/60Y+COao+TRU2iB+r9Vq8wY6vS9pJttEOWrNx03YmLc3JLPRX42QztPtBFjltglWfc65Fdk7ZqrUrA8m8+uqrA/FnMSLuCfpD2jPtoq+0/cc//rGdffbZgWD7wy8sxBgS1eV6+kg0nTmrCKNfoRh2fr9MIptsQcOqxvybdFzmc8ISwWcVXolmxf0vUB0WAREoEwISzTIZSHVDBESgfAi0VTRZNZQIJFFBFsHhAZ4HfySKNE0icczFQ4KQJgQNmeA8ZBCJJKrJg73fg5PFbhBDyth1112D+ZkjRozYvDpoc6JJNBNBRTSQDmSBOhEVZAMpQeoQSaJXRA6RNoQYsWGxGdrko3vNjWw2I7+6KfNR/X6VSDd9Q4b48hHN5kSTz4i4UQ6CTIonDGgbB9FMhJU2MbcUhkQA2b6DubGIE9Fa5Ii5pn6OJmXkptAiYEg78wsRzalTpway/cMf/jAQKySPg7pfdNHZGQ89YD2WLrLhjRtst0/WWHLJmjw3utsnM+SiobXbWXg3t23NcrfK62drLJPvzwLZ3O8Yi57xHasae6B9Fq63B6bdZ1dddVVw/8ADOWfhHtrGGDJ+tJ2IJtFMIsX+QBwZU6QZTvQTyeR+/Nd//dfg5YeXe8+bcYcf9yhRZMaM85hrzArFvCwhHVmiWT7/b1NPREAEKouARLOyxlu9FQER6AIEWhLN5rrg0z6JSjGfkjmPrOCKrJGyiSDxIE+UEYlAZIj+EZUk7ZMHe+ZSIqAcRPZY8ZSoJoJBRJIFhJAo5u4hBJybK5pE7UhdZW4nC8v4+XfIBAvMILe0icgV1yO0yAbzSv1iRBdeeGEgO0hqPsnMnp+K/DCfkn7SViSQuX5ENJEhBM5HR317fbk+bdaLJv1mkR8kCz60lygrq+LSb58+SlorosjKrMyzpP1wR9iZ/8pnlJG9vQnX0lfqIEWUuZqk6iLEyDXjsHnLGHfu2hVLrf6Vf9gOj91ryecWWWrpuvx3b8ilxNbtYuE9jrSqM/a1zOwnLPXSfLcibaKAmG5voZ0Oteh//NAWdV9v02ZPt3tdNJfVgWkf0VcWKLr00ks3iybt//nPfx5EKUlv5aBfrFiLePOigu1KGHf/4gNRZbyz58lmN8ovfMQcYnhyj/JygG1ViCjnimZr54V2gT91NVEEREAEypqARLOsh1edEwER6IoEWiua2echSkQSr7/++kByeFD3+2RyHgKGNCE5RI/8Po4IAGmQyJhf5ZMHeaJRN910UyCoXM8cTqSUeYQIBvM8/bw93w5Ej6gkKawIFOmkrB5KexBNZJhIHucjZcgucx6JIhIJIyLG+V/72tcCoc23fUa2LNJW+o7kEH1FVoikEiFl3idpvgic32vRi2V2dM2Xh/AQTSP9mJRWRBMmo0aNChbroW1cD0uin6xsy1YoCL2PxJFyS6opnHzaZ/YWJzAgukzEd8aMGcGY0M6LL77YjjjiiEDGgjmkyUZLLnramqbfYk1TF1r60waXLpvOfzvHaizypbFW9fXLrHqwO2/RNEvcN80apr5S4E/AyWkU2RxjmctG2uu7JOxRt/Isaa6MCWNJBBsJ5jPaxZjx8gEBROT5jIjur3/96yD1lf1QScdmTEj9veKKK+wXv/hFMLfXLzIF++xoL2XAnvm111xzTSCa3JOIJnX4NGQ6kiuZks6u+H84tVkERKBSCEg0K2Wk1U8REIEuQ8CLG9+JDPEwnRsNypVRhAXJYvEYooEsgoMMEO0j2ka0kogigkM6I5EjIobsb+lX+ET2vACQLuu3uyAtksgjEToipZRNOimiyeFFjYhksEKqExGkAlkk3dZH9hBRRMX3C+G65ZZbAkGkbgSOaCd1EEFE1BBdv1ARUVWEMVc0kVfklv7zbw5El7TPbNH011EeYkobkUT6TN1IIpE5VsRFeuEFI1KK2UcTcffzDKmH6DFSilSROss1fk/Q5kTTRzSZJ0t0mRcDzEekX0QNqQcpD46mjZZ5w+0F+sCfrWHKe5Ze11T4/kU0T3Ipwpf8H6vZp9FCi++3+F3328a/zi1wnUu3te5mNSOs6ueT7NU903bnrbcGkg4f+kI6MH1HNDnoA2mxfk4tP3PvXXvttcH8zcsvvzxInWWsGVfmfLJCL/cZZfiFnrIjvZQLO1KSr7zyykDwv/71rxuRbVJnvWgitNyXyD97l3L/Ka22y/xvTQ0VARGoQAISzQocdHVZBESgcxPIFjcEDxHx25Vktzw7fZSHfdJHeVjnQZ8FdZAkricySDSOCBUprQgS5/PATiSTSBoP7kgXwseDPSmSRJiIbDH3ERHgc9JIWQ2UlEoE1osmkTrklSgW4sX8uv3333/zOb7dvs3IDEJKe7jGCyjnMU+TeX0IM8JDu9lfkxTT5kST6CICjWiSIovQEJGlP4imT531XOkLfWI+JBFdL5qUw/YeiCbl0EbaRfSWiCPi7FNwWayHqDDzXuHEz/QbeYU9kUAiuowd8uzrQJTYaobviBlfyBqLAREpZgGnTNLNDV36qiVnP2qJhx6xxAufWqahwOo/kSoL7TnEqkaeabHJZ1l0pyZr+nC2JZ+Ybul7nrLku/WWSeS73s3rjA22yNfOtA8O629PLn7RHnUM2I8V6UWY2d+UFwbINH2hvXBh6xfOI0WaxXzgCSf6zAsSxpexRUp56cF4EKHkPNKm/UsNxoV0a6R9ypQpwe+JCnMP0QZ/HnJPPZTB3wPtkWh27v+XqXUiIAKVTUCiWdnjr96LgAh0QgJeiJgnRwqnn/dWaM4iESQicKQv8gCOGPiFd4go8hnCxoM/8wsRSR78SVFEHvgdW54gd8gcPyMQzHWkXMSASBa/Yw4ekS4kwEf4iDxSNhKFCCCKyCFt9jKQHanlOspl4Z1bXRSN+YpEGqmHsolo+TmRnItY0M7saKb/N3UjKLAiMkkklBRYRJpoLQv5wABJpP2kafpoJWLtU4upn/4S8UUc+UKmOIfoGvJImV52OR9BuvPOOwMhhg9tpc/MZ2WuIwwYC+pgjOjnr371q0B0iQDzOeUjaMztHDRwF7d1yUeWeupmi9/3lMVnLS98hzrJTPfub/UnftnSI46z7of1DkRwzapPLbV4lvWce791e+QjC69KWCZfUJT5nbufbFVjxtrqM/axS378PXv5lQXBPcPWJkSvWY2YqDgvJOCHrBORJmrJuDM3FTnky98T3ENEuJnry4sI7i1eVMAG8WRMYAYXoueUw33J/E9W4GX8s1fv9fVy33Gf+Ci/0mc74f/E1CQREAERcAQkmroNREAERKCTEfBChjQhOwiSj4rlNpVziaQhPX4fTaQMKSK6RjQJMeKL8hAERBMBQGDZtgOBIALFgz8P7Tz4Ex1F3hBXyqMcxJdIKPPtEAoip37bEOomIsUqqkQCiSIiDERLiXBlRzSpy8/LYz4ekkEqKXVxLefTJgSNKCJRNUQnO1UXmaLfiApl3HjjjUEqKgLDdZRHWXAYM2ZM0H6iuvTZ8/UCTHsQHOZMIpnMY+V3iAws+EJ6kHKie0Tc/N6QRPSIatJvpJSoK/XyxXmkw3Id0oUoEWFmZVfq8/NFYch5E8aNtRMG72I1c26z+N0vWdMrywtHMl0brd/utuG0C+2q+Q/bgnXv2q57DAzGcMWK5cHemzunP7MrD41Zn4UuPfiDAjd6zEWn9zvWlh420s772+X29oolQV+I+BJJhAX3E/cC6diII/ccEVn+PXz48GBuLVLv2RDpve666zbvoYnccy6Rbu4PIs/MceWe4sUA9fGCws/rhYs/vLwyVj79Nvt3nexPWM0RAREQARGQaOoeEAEREIHORyB3/mW+FiIuyB9z/pAtBIB5hkR7EC5EkDRUok0+zZUoGg/3CA/RKqKYRNQ4+B0RN1JC+e6jbkS2fCopooBAkU6KDJIeSholK4yS1ugje9SN5BFRJALK4fvFvESkEqGkvUQi+Y5oIJOksNI+hAVRJVU3u53IBv1GDBFmhAeRo3wf+aQ9SDXRL2SJ+Zos6kOfOby4IPKk/MKQMpgHSPsQe8QcmYUzbJFNRBNJ4ve0g+uZw8rcTrghZUT9OLgGNqQZw4q0WMpkL04fKeVcPss0uRVeB1Tbadu5xYYenG2phSstvTbfirGu8KhLl93jUEscO9re36uf/emxKfb8gjlBWQgasr2nk+qD9+1vE/Zrspqbn7PE0+9a3uWEnJxaj362Ycf97JkefWzJziFL7lQdjBH3hX8Rwfj4KKSfc0tfidwyVn4eK/cJws4LgNNPPz0YV8aYFxLcW9wb3EekKfuxJcJOVNenSOe777UgUOf7f5ZaJAIiIALNEVBEU/eFCIiACHQyAq0VTaJmSA7iiCz51FCuJ+pDxIg0RSTLiyaSwNw5RIAooV8Z1YsmUUGimSzI4udN5m7RwbmIFmmkfs9FykTSkA8vJYgVabCkXvqDthEFRCQRCupAaBE6ZAyx4feUR1sRVlJQiUT6iCaRQL/nJYJN+xA25qIixdQPFyJoiBfizUqoLEiDGHvRpBwYskotfaZPRO34DFmjTX7LFMSYqDBSRPTOR3Kpy0cqEW24kTpM+izCSjuQXQQMkSKyigBzDYJPuxNuj8xPXnnW+rwz3w5YvMQSc1daprHAnMyoizy7OZmRE0+31Ckn2dLqlTb/tfnBPYDAUgdyTeRwr70GWt+e683udIsW3f2UJV77KP/emsHAdrfMQaNt9ZEHW8OQgRbbY1Mqrk9Tzt0X1I8rY+m3dOEzxg6uzJVlcSfGxks8834ZV8aK3zMuiDFlcD9yH7eUDpv9+5bO7WR/3mqOCIiACFQMAYlmxQy1OioCItBVCLRWNJEgImiIGeKDqPFAn3u9j97lrtbqhSuXS/b1fiuK3LmR/pqWHvLz9YXPs7e5yG1DttzktjO3zuxFkbwI+fbmq9+XkS1O2W3IZdVcnf4c2srRXDuau26LOtMumrnuY0vNfdCJ4GMWn/5m4dvUzck0NyczetYlFhtzslvH54sL4nyhz5mkhVa+ZIkHp1njtQ9Yaq1b+bfQVinhiIUPO9PN2RxnNWcebOEe1WYRVqht29HcGBS6b1p7//vWaEGgto2LrhIBERCB9iYg0WxvwipfBERABLaSQGsftIkGEh0jAkfEkogQ0axii6aXAl9uc+VvZReblTJfRnOSWCiClSvGzYl1bvsKiaaX4Jb6lN3O3Dbkk/gtBD3jtq6pX2rpl+5225A8ZU0vvGeZDQXSZUNuTmZvt8jTSd+y2snHWdWQnS1cHdki+tf8vZMxS240WzLXrUQ7xTbc8LylV7qfCx01PS3s5mxGx7i6Ju5j4R3c6rQddLT2/pdodtCAqBoREAERaCMBiWYbwekyERABEWgvAoWigEQxScckJZQ5bn51VNIwSWX1K7P6thFtY1VW5tkxf5H0xpZW68wnTflEsyWp2kKuPv+huehqIZ4tRU6zr22NaPo2ZwtnW8bT98PvPUlKMvNA/cJK2fLMvxkPUkgXv7vIeobX2V6Nbh7nn6ZafN77lv6sgPwRyRxwoIWPHmXVE90KsfvvaJFeLtLYzEE6L/XQN9J9g8NFkK3BpeS+84LF//g/lpizwlIrChJ3czb7WHi3wyx6wmgXPXXfD9zR2h7XzF/X1oplbkmKaLblztU1IiACItD+BCSa7c9YNYiACIjAVhEoJJrMG2SFTkTTb5vBfD/mBCKbzG/Lvh7hYO4e8xVJrUVG/b6EhRqVL6pXSAoKyWCh1NPcdvjU0q2Ry7aIZjFlE+FnXJBI5sVmr5hKPYwX8xYZv3QqYe+/Ntu6L3ndBi161+IPzLP0epfOmm9Awk4Wd9jTIseeZlVnjbfqo3aycM3nAplzDS8iWByJuZrcE8yT3Xwgm+uXW/rZ31t86rNuf86PXb0t3JpRF8kccKxVjXNpuicdapFdXRR1+xoLRV10tUiHRLNIIFWMCIiACHQyAhLNTjYgao4IiIAI5HvwJlKFrPj9LEmXRSxzD3+93wIE+eEzRJSIZ1uOrZGB5lYFbU40/TxM/512ZS88lG/+ZEuCzO+z29saOd7WyKZfgRahZEGj7Cgb/WPMWHV1w4Z623u3PhZ7e5Y13THN4n+fY+lMoTih2+OyegcLHznBYpNHWc0EF9XM6Z/nQT956cDKv0S9eamA9G55uHTdpk+s6fbfW+LvD1tiwYbCiwNxMSvS7nKIRY4cZlVur87YkEEW7tPdQi5ttxhHoTmcrbnvFNEsxiioDBEQAREoPgGJZvGZqkQREAER2CYC+R6u2X6D1VFZfZW9BhHHzamROTVSBlE2Vv4kmkmaLdEtv3Lr1jSwNQ/72eU1J5qbfOWfQkWZCFjuoj8dLZq+XdsqmpTjFwXKFR8+ZyyWLHnPpTAvtUP7u4WQrrrTEo/Ps6SLZOY/UMreFtrhBKv+j0kWO/0gi3b7596SXJedgux/RnaJbJIinftiIehnJmGZ1fMteff91njFXZZ0ops3muobF3VpujW1Ftq+j0VOucSqzxzq5oj2YzPuoA2tiT7nzvX1RefeX/kWe8rHSaK5NX/NOlcEREAEOo6ARLPjWKsmERABEdgmAkSrVqxYEaRlEjXje76HbB7ekQ0kk3RN0iiJgOYT021qWAsX55OQbEnKlZW2RDOzm7GtclxMHrQlmUxY/dplllj8km337DS3V+arlly8poDguWhhpL+FBwy12LnjLTZ6X4sM6tXsHMnm5tQWbr/TyvQaS7/1oiXvu8ca73zeUp+1IrJJoW6uaGjAQRYZOsKqTj3eqkfuG8imF/a2cNtW0WyN5LalXbpGBERABERg2whINLeNn64WAREQAREQgVYQcFugNK2y9CszLH7VLy3+ylpcr8DhUqKj+1tk8Bir/cVZFt3bbWNS14pqWntKxrVn/WJLvTrdNv7kVkt+uLrlqGZ22buPdvM2J1rdT4YFqbztsUhQa7ui80RABERABDonAYlm5xwXtUoEREAERKCcCLi9LK3+I0vNc3tl/u56S7xRb+l1BToYcimy3d28yCMmWO2/jbbooG4Wri0iEERz4weWXvikNfzf26xp0SeWbnBtbO2xy3CLjhpndT84xSLdYxbahn02W1ulzhMBERABEehaBCSaXWu81FoREAEREIGuSKBhjaVemGKJu/9k8afWWbreiZ77L+9R290iwyZb1VcvtZoj6lw008UNix02TDc5+f3EUrNusYa/POW2PPmg9WSjbr7m3kdbePwl1n2SS+vtW0wLbn0zdKYIiIAIiEDnJSDR7Lxjo5aJgAiIgAiUA4FGJ5avPmqJh+63+MNzLLXcdSpVoGM13S38pTFWNWacVZ9yhEW2c45ZnAVev1hpyi1GtPIta5p2h8WnPW2JF1e1nnj3Phbaw+0Z+q2LrfroPS3av20rGre+Qp0pAiIgAiLQlQhINLvSaKmtIiACIiACXYiAWyQn2WCZZW9Y011/dZL5vDUtLJAvy4qwNT1dpPBIq5p0nlUPP9yqduuASGE6ZZl3ZljTUw9Z/P6Zlnyn3jKNhUw4awiqnRQPu8xqvn6ixY7f1cLFjrp2odFWU0VABERABLYkINHUHSECIiACIiAC7UEgQ2rq+y5l1m0jct10a5r3foE9M52hRVxEsP+BFjnrYqsbe7BV7dWrPVrVfJluzmbm/bmWeupG23jLAkt96GQzSdW3zAAACS5JREFU3hrZdNuehNz2Kz9zYvz1L7lVjWWaHTdoqkkEREAEOjcBiWbnHh+1TgREQAREoEsSYJXZ1ZZ+/VlL/OEai7+w3FIrCy2241aZrdrbwoeNtJpfurmZA3u5nUTaK182D9CmRsusWmKp6b+xhrvnW9Mrq1tBPupE8wCruuxCq/7qqRbbQaLZCmg6RQREQAQqgoBEsyKGWZ0UAREQARHoUAJNGy39/j8s+fjd1njLM25eZtwyiQItiNVZaN+T3bzMr1rNV1xUs6dbybVDG/x5ZUknmx8tsKbZj1vTY8+5dNq3C0Rh3TVBFHakVV/6Zasef7hFa0vS6lKQUp0iIAIiIAItEJBo6hYRAREQAREQgSITyKx3q8w+MdUSt//F4i+tcpJZaIlZFxXstptFRk2w2LfPsZq9u1soxu6UJTpIo132stuK5QVLPDLPUm8vsvRHbg/QtU5Cs5tU3c2s7yCLjj7fqscOtdjBOxvTTHWIgAiIgAiIAAQkmroPREAEREAERKDIBDIrV1nixpus8Q9/tFSmBfsKdbNQPxfNPH+81Vx6vJEw2zl8baPZ+o8sOfU2Szz5qiXfdbKZdPM2U06aw66VOwy00MHDrOaHE61qQB8roRoXefRUnAiIgAiIQDEISDSLQVFliIAIiIAIiEAWAUSzEdH8/Q1bRgGbo1S7vYWOdSmzk0dbzag9O4lk0lAXv8wkLVNfb9bgUn/XbXBboTjZXLnSMt36Ozne2cI7uf00e7kIbLSD55PqbhMBERABEej0BCSanX6I1EAREAEREIGuRsCLZoMTzfwHccsaC+2wj0W/eaHFxhxj1Xt077xdTbrFjBpd+mxDg1u4yLWzxkmmts7svOOllomACIhAiQlINEs8AKpeBERABESg/Ai0XjR7WGjHwy32L9+x6tMOs+h25cdCPRIBERABEahMAhLNyhx39VoEREAERKAdCbRONN2sxvB2FurvFtK5/NtWPeIQi/Zox0apaBEQAREQARHoQAISzQ6ErapEQAREQAQqg0CrRDPk5jV239XtnTnZLQJ0msWOHGhhrahTGTeIeikCIiACFUBAolkBg6wuioAIiIAIdCyBlkXTGWXELQK0+1EWPfdCqxm5h0UHur00O7aZqk0EREAEREAE2o2ARLPd0KpgERABERCBSiWQ+WyVxW9xq87ecIOl1zsK2dtoht2+mb36W3jQIRYZepLFznBbm+xea+FOvA5QpY6j+i0CIiACItB2AhLNtrPTlSIgAiIgAiLQLIFM/WpLPn6XxafeaqklbouQhNspJBO2EOmyNW47kP2GWuTUkRY7ZahVbe/2zVTKrO4kERABERCBMiMg0SyzAVV3REAEREAEOgGBdNoyG9ZZZtVHllm2xFKfpS0ddyvMVvexcN/tLbyjS5Pt7b7q3PYmksxOMGBqggiIgAiIQLEJSDSLTVTliYAIiIAIiEBAIGOWdKHMRiecjRnLpGJmUfaejLkvNxvTBTd1iIAIiIAIiEC5EpBoluvIql8iIAIiIAIiIAIiIAIiIAIiUCICEs0SgVe1IiACIiACIiACIiACIiACIlCuBCSa5Tqy6pcIiIAIiIAIiIAIiIAIiIAIlIiARLNE4FWtCIiACIiACIiACIiACIiACJQrAYlmuY6s+iUCIiACIiACIiACIiACIiACJSIg0SwReFUrAiIgAiIgAiIgAiIgAiIgAuVKQKJZriOrfomACIiACIiACIiACIiACIhAiQhINEsEXtWKgAiIgAiIgAiIgAiIgAiIQLkSkGiW68iqXyIgAiIgAiIgAiIgAiIgAiJQIgISzRKBV7UiIAIiIAIiIAIiIAIiIAIiUK4EJJrlOrLqlwiIgAiIgAiIgAiIgAiIgAiUiIBEs0TgVa0IiIAIiIAIiIAIiIAIiIAIlCsBiWa5jqz6JQIiIAIiIAIiIAIiIAIiIAIlIiDRLBF4VSsCIiACIiACIiACIiACIiAC5UpAolmuI6t+iYAIiIAIiIAIiIAIiIAIiECJCEg0SwRe1YqACIiACIiACIiACIiACIhAuRKQaJbryKpfIiACIiACIiACIiACIiACIlAiAhLNEoFXtSIgAiIgAiIgAiIgAiIgAiJQrgQkmuU6suqXCIiACIiACIiACIiACIiACJSIgESzROBVrQiIgAiIgAiIgAiIgAiIgAiUKwGJZrmOrPolAiIgAiIgAiIgAiIgAiIgAiUiINEsEXhVKwIiIAIiIAIiIAIiIAIiIALlSkCiWa4jq36JgAiIgAiIgAiIgAiIgAiIQIkISDRLBF7VioAIiIAIiIAIiIAIiIAIiEC5EpBoluvIql8iIAIiIAIiIAIiIAIiIAIiUCICEs0SgVe1IiACIiACIiACIiACIiACIlCuBCSa5Tqy6pcIiIAIiIAIiIAIiIAIiIAIlIiARLNE4FWtCIiACIiACIiACIiACIiACJQrAYlmuY6s+iUCIiACIiACIiACIiACIiACJSIg0SwReFUrAiIgAiIgAiIgAiIgAiIgAuVKQKJZriOrfomACIiACIiACIiACIiACIhAiQhINEsEXtWKgAiIgAiIgAiIgAiIgAiIQLkSkGiW68iqXyIgAiIgAiIgAiIgAiIgAiJQIgISzRKBV7UiIAIiIAIiIAIiIAIiIAIiUK4EJJrlOrLqlwiIgAiIgAiIgAiIgAiIgAiUiIBEs0TgVa0IiIAIiIAIiIAIiIAIiIAIlCsBiWa5jqz6JQIiIAIiIAIiIAIiIAIiIAIlIiDRLBF4VSsCIiACIiACIiACIiACIiAC5UpAolmuI6t+iYAIiIAIiIAIiIAIiIAIiECJCEg0SwRe1YqACIiACIiACIiACIiACIhAuRKQaJbryKpfIiACIiACIiACIiACIiACIlAiAhLNEoFXtSIgAiIgAiIgAiIgAiIgAiJQrgQkmuU6suqXCIiACIiACIiACIiACIiACJSIgESzROBVrQiIgAiIgAiIgAiIgAiIgAiUKwGJZrmOrPolAiIgAiIgAiIgAiIgAiIgAiUiINEsEXhVKwIiIAIiIAIiIAIiIAIiIALlSkCiWa4jq36JgAiIgAiIgAiIgAiIgAiIQIkISDRLBF7VioAIiIAIiIAIiIAIiIAIiEC5Evj/YSplGZ1TDSgAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "60df7e6e-0f3a-4eb2-b735-4d86f434b006",
   "metadata": {},
   "source": [
    "![image.png](attachment:632d7b2a-9985-4ffc-969d-c65758988fed.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f28dba87-66f1-40be-91c8-d2ced066fbf2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from  lib_MyMatrix  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "a78c7214-5742-4286-b281-b058c1185589.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "26b64184-154e-48b9-a5c6-1f1a12e02a0a",
   "metadata": {},
   "source": [
    "![image.png](attachment:a78c7214-5742-4286-b281-b058c1185589.png)"
   ]
  },
  {
   "attachments": {
    "6c554dd4-ef71-47a1-a164-c3c3a54f7700.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAAGCAYAAACcsEwlAAAAmElEQVR4Xu3aUQ3AIBADUE4HwckMIghLszGSybg+HPT1fppQ513f8AgQIECAAAECBAgQIECgrUAZfm27FYwAAQIECBAgQIAAAQK/gOHnEAgQIECAAAECBAgQINBcoOZ+fPVsXrJ4BAgQIECAAAECBAhkCxh+2f1LT4AAAQIECBAgQIBAgIDhF1CyiAQIECBAgAABAgQIZAtcXCQNyeOdCfUAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "9be592b7-292b-4006-a55b-7f0897e6bb41",
   "metadata": {},
   "source": [
    "![image.png](attachment:6c554dd4-ef71-47a1-a164-c3c3a54f7700.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4c6b71b4-910e-4414-b7c7-95fcb12d48a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & x\\\\x & 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  x⎤\n",
       "⎢    ⎥\n",
       "⎣x  1⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\frac{1}{x} & 1\\\\1 & x\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1   ⎤\n",
       "⎢─  1⎥\n",
       "⎢x   ⎥\n",
       "⎢    ⎥\n",
       "⎣1  x⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & m\\\\p & n\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  m⎤\n",
       "⎢    ⎥\n",
       "⎣p  n⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A=MyMat((1,x),(x,1))\n",
    "B=MyMat((1/x,1),(1,x))\n",
    "C=MyMat((1,m),(p,n))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "18d8ad9f-af1a-4afc-9226-2d7b1331e77c",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x + \\frac{1}{x} & x^{2} + 1\\\\2 & 2 x\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡    1   2    ⎤\n",
       "⎢x + ─  x  + 1⎥\n",
       "⎢    x        ⎥\n",
       "⎢             ⎥\n",
       "⎣  2     2⋅x  ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "AB=MyMat(A*B)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "20f7bf90-17d4-44f2-8c65-5859bf9f6997",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x - 1 + \\frac{1}{x} & - m + x^{2} + 1\\\\2 - p & - n + 2 x\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡        1        2    ⎤\n",
       "⎢x - 1 + ─  -m + x  + 1⎥\n",
       "⎢        x             ⎥\n",
       "⎢                      ⎥\n",
       "⎣  2 - p     -n + 2⋅x  ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ABC=MyMat(AB-C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f24dd9d9-9e63-42d8-98f8-078bf27fffa0",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x - 1 + \\frac{1}{x} & - m + x^{2} + 1\\\\0 & - n + 2 x\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡        1        2    ⎤\n",
       "⎢x - 1 + ─  -m + x  + 1⎥\n",
       "⎢        x             ⎥\n",
       "⎢                      ⎥\n",
       "⎣    0       -n + 2⋅x  ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ABC.set(p=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "eaa14878-1d69-497e-acc7-7ca086461f3e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAO0AAAAzCAYAAAB7eY/QAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAHKUlEQVR4Ae2d7XUVNxCG7RwKcJIOnA4wVBDoACcVAB2Ewy/7Xw50QFJBgA4gFUDoIHSAcQfJ+yyata6u9u71fl7tzpwjS5rdlTTvzOhrddfHFxcXJ0cZury8vM6wndWCgHADz18Unip91nK7X3YEGhEItrR1/Y44/yicJlf+UP5pwvNsCwIC+a5ueRBuy3aGLUX45RERCE7wPFRhNv9Y/EMdoN6orWZPhsx7nBZ6qIa//5b0v10REIaf9OwnxY+6luHPjYrAC+mmHoyUfqXaGLR+GrXWjoWrfQ/jR5V/ovz5dzHT047AwhF4IsOPR64XkvdUPGZIxZA7bTGq8oYOgACj7McBypm1CJsez9qIrpWHHpJ5/5nSh7ou6SqePzcwArIR9mpiwok/i8+yZhbqYsPFOa2EZIPnT4UrhXsKtqGgpJMjsB8CwVnYe5h8h7+vDZfotIyo56hGwv+mqPd6ROWwzmFtk/bEVOM0IgJzYK866ehZz/aaoXVtu57rZcPFOe1I9sPoTXCaHoFJsQ8O+0xxtTMb8keKP3cQfdK2W/vcaQ2JAeJgAKyTbOSmN/8i/ssBivcieiIQ9MNrHpzWZmjo61nPoid9vNVpJRy9Ce+HoPsKjxWYXvyqAH3QPW+/Jdf9VzjQWxdlALHG1H46G4zZ9PyD0hj1FwVGpne656UC95j+SfP+c5b3/Kr3NvbJO1nuJ65JZSBjMdTqtJKkfiEt4VhDsgmEo9Jb0WsxmrjTCoQFEIds0Os7yVLrGbnEY73/VfG1YnZcq85JMZs57OB/rzAH7W2fautcbRwUl53vaSUkIyxOaYTCUJJt2NATx9ftPo8LQ0C6ZpTFWSFmUifixdN6dA3Bj0dV+Ixek9Na7bNtpP0oYOIFOtvjHNPDeY8UV7u4TdrSdZT5t8JtlHqu50Z5b6ZymRlgnClVBqnruWkS8rbJ+V9aYC6vco5z/KF4Kr8P3uj6OpSB06ZY3A3ttA7bml3ZhGWaYpU7Bva97LOprSl/pLan1eyd3+m0amzqPPx65fd9S9fzOPfk78Ga2qf2pIZY3So+swde+cQjS1MxW3w9N6ozblXYwFA7OuMdnqXkqlNTPh5N4bOmrTtsGIGwidSR7Vodq7zBsVeZveyzblxLYoy2t1S58/LO6XH8pBqOMunJ6/WreEyV4DktBwE2mFJnQDr0v+HIkU0wih7NaQtRWxZvn40jbVAAGwy2M0hPyfQpni4/V77Y3VIMzWkLAZxzY+QMtsCU2da89hA2wejLxhTXt561G4eOQ5tWaZ+7RloUQLgKAF3FwIvHtQ8xb4b0j6FO2ySZoQnLqTI4HjOnvxKpmAIf6frGSCsW9xqPH/1vODvPjEgl2Oc+4t/ahu/sKBVloATAQWEohfd0TIV4z4Uz11MR7pmKVC89LFS1TfEb8ZgB0L4pDYc2LIkYLXMH6HHOHK68OWDjkFeB1RRZ8VR0sPa5DwB9bPhYn5v5V5XgkNZj7lPnou6R7L02ogyMYLxk+VE1Bk25VVrX4mWF2E4gMBT2c6A5ddtVn/8IPlL0tdKEziRAGW3eKmYHmun6q5C+p7S9LlHSKUGgN/ZJeVNmZ2n7runxlMLPWpeca4hZRrxJdyKBbNOGbxDldmNnlflQKh8I+1nEmavtuzaiZgGi1EqlwHjNx1q7Wu+7w5aq0cNttzvtwLqRkzIVrkdd5dnccXIEBkPAnXYAKHFMha+hKA4nxJtO/h57AIy9iBsEfE17g0XnlByW1ySvFdiMqtayIU2Z7rSdkfUHcwi40+ZQ6cCTk8Zna4fY2OrQCn9kDQj49HgNWnYZF4WAO+2i1OnCrAGBoqfHmpLaD/D5HIqfPFqwxbqub5Rb7EgrJXL+2T57wykkNnw4e3x6I56nloCA63pTi0U6rZTIGUx+y1v/YEFpjpSRn/rg+iainhsUAdf1NpxFOq3E4PMvuaOB/FTwgRTNMUKnZSDguk70WKrTckxw4/e9QS471MB1p2Ug4LpO9Fic0+45ivqP4hNFl5h1Xee1VpzTSgxzSNawTeTT4yZkyuK7rjP6KtFpM2JssewTHlsXnLE4BFan6xKdNreWNUu0npn3tk7lI+C6zuiwOKfVOsemxbkpsPFsQyojsrNKQcB1nddUcU4bxOBA/mlGJBtp/cB+BpxCWa7rRHGlOi1fY+TbSymdiZH7Cn56n+fLQcB1neiqSKfVtIlPu/AJV752WJHSTI35Pi//itNpIQi4rrcVWfIPBhhV+e8H9xWz8UT8s/K5k1K65FQwAq7rSHnFOq2ckw2p+IfnkVieXBICrutNbRY5Pd4UwXOOwLoQcKddl75d2gUg4E67ACW6COtCwJ12Xfp2aReAgDvtApToIqwLAds95mPbdgSwQiDs2K0LDZfWETggBFKfVNMqH7WRlk+08IV8C/bBtAMSwZviCKwOAU6DmU8SV375PzfPfuDGygb5AAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x - 1 + \\frac{1}{x} & - m + x^{2} + 1\\\\0 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡        1        2    ⎤\n",
       "⎢x - 1 + ─  -m + x  + 1⎥\n",
       "⎢        x             ⎥\n",
       "⎢                      ⎥\n",
       "⎣    0           0     ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ABC.set(n=2*x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d6656f43-1af3-4039-8ef6-c5ce9ef7a727",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x - 1 + \\frac{1}{x} & 0\\\\0 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡        1   ⎤\n",
       "⎢x - 1 + ─  0⎥\n",
       "⎢        x   ⎥\n",
       "⎢            ⎥\n",
       "⎣    0      0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ABC.set(m=x*x+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cd11a39c-c9c2-4baa-8c48-786c0bf09fd4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle F =p^{4} + \\left(m + n + 3 x^{16}\\right)^{p}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "F=MyEq((3*x**16+m+n)**p+p**4,'F')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "28bfebf6-bcff-4610-8f4e-36aa6489d580",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle F =\\left(3 x^{16} + x^{2} + 2 x + 1\\right)^{2} + 16$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "F.set(n=2*x,m=x*x+1,p=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "78992b9e-34d1-43ef-879b-8ce807bd2c95",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x - 1 + \\frac{1}{x} = 0$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MQ(x-1+1/x,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ccc15930-7534-4bb6-8676-0b207e89b151",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x \\left(x - 1 + \\frac{1}{x}\\right) = 0$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Mul(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "01eab1a0-f7c1-449e-9492-1e1c7da58986",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{2} - x + 1 = 0$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.expand()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "99791f56-0223-4217-b7c6-40d2c7574b54",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(x + 1\\right) \\left(x^{2} - x + 1\\right) = 0$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Mul(x+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "feebefca-d2a1-4f6b-8669-c3078814b4a4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{3} + 1 = 0$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.expand()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "3fac079c-9ff9-4415-8e37-03d200d68362",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{3} = -1$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Add(-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ff4f620e-dae1-43b4-b19e-441b5b1aa82a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle F =\\left(3 x^{16} + x^{2} + 2 x + 1\\right)^{2} + 16$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "F.s()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7c957264-94f3-4133-a566-8407f851e67f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle F =\\left(x^{2} - x + 1\\right)^{2} + 16$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "F.subsubs(x**16,x*(-1)**5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "18fa7906-5f50-4cf4-9e63-6d11bd7b67fc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle F =16$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "F.subsubs(x*x-x+1,0)"
   ]
  },
  {
   "attachments": {
    "6c554dd4-ef71-47a1-a164-c3c3a54f7700.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAAGCAYAAACcsEwlAAAAmElEQVR4Xu3aUQ3AIBADUE4HwckMIghLszGSybg+HPT1fppQ513f8AgQIECAAAECBAgQIECgrUAZfm27FYwAAQIECBAgQIAAAQK/gOHnEAgQIECAAAECBAgQINBcoOZ+fPVsXrJ4BAgQIECAAAECBAhkCxh+2f1LT4AAAQIECBAgQIBAgIDhF1CyiAQIECBAgAABAgQIZAtcXCQNyeOdCfUAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "19e65d27-589f-4c08-885d-b8327271bde4",
   "metadata": {},
   "source": [
    "![image.png](attachment:6c554dd4-ef71-47a1-a164-c3c3a54f7700.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5ad1211b-4176-4f9b-9767-3e9f846183dc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from  lib_MyMatrix  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "1662bef1-dbc9-4128-9a22-9c1035dc1e3e.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "34a979a2-9008-4ff7-9426-3613b057ee61",
   "metadata": {},
   "source": [
    "![image.png](attachment:1662bef1-dbc9-4128-9a22-9c1035dc1e3e.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "300a5efd-6298-4817-b7a9-83cf5529422e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a_{00} & a_{01} & a_{02}\\\\a_{10} & a_{11} & a_{12}\\\\a_{20} & a_{21} & a_{22}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a₀₀  a₀₁  a₀₂⎤\n",
       "⎢             ⎥\n",
       "⎢a₁₀  a₁₁  a₁₂⎥\n",
       "⎢             ⎥\n",
       "⎣a₂₀  a₂₁  a₂₂⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A=createMatrix(3,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "a53d6658-a474-4d5c-b7de-84a06dbce9f6",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0 & 1 & 1\\\\0 & 0 & 1\\\\0 & 0 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡0  1  1⎤\n",
       "⎢       ⎥\n",
       "⎢0  0  1⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A.setif( 'i>=j','0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "e6e32fc5-953c-47f7-a164-6a56dc943bec",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0 & 1 & 1\\\\0 & 0 & 1\\\\0 & 0 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡0  1  1⎤\n",
       "⎢       ⎥\n",
       "⎢0  0  1⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A.setif('i<j','1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "99481569-166e-4ccc-b550-1f336a3f92d4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0 & 0 & 0\\\\0 & 0 & 0\\\\0 & 0 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡0  0  0⎤\n",
       "⎢       ⎥\n",
       "⎢0  0  0⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A.Pow(100)"
   ]
  },
  {
   "attachments": {
    "6c554dd4-ef71-47a1-a164-c3c3a54f7700.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAAGCAYAAACcsEwlAAAAmElEQVR4Xu3aUQ3AIBADUE4HwckMIghLszGSybg+HPT1fppQ513f8AgQIECAAAECBAgQIECgrUAZfm27FYwAAQIECBAgQIAAAQK/gOHnEAgQIECAAAECBAgQINBcoOZ+fPVsXrJ4BAgQIECAAAECBAhkCxh+2f1LT4AAAQIECBAgQIBAgIDhF1CyiAQIECBAgAABAgQIZAtcXCQNyeOdCfUAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "793ef408-cff0-408c-9f80-34c4b9e23fd2",
   "metadata": {},
   "source": [
    "![image.png](attachment:6c554dd4-ef71-47a1-a164-c3c3a54f7700.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "eb932edb-048e-42f9-a7e6-e83de3cfac13",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from  lib_MyMatrix  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "673ef4bd-71f5-4f57-bf22-42aa3d53ca79.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "13806683-9303-434b-a117-7d48922cac1e",
   "metadata": {},
   "source": [
    "![image.png](attachment:673ef4bd-71f5-4f57-bf22-42aa3d53ca79.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "057dd52c-8026-46ba-980e-fccaed2f181b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\frac{1}{3} & 0 & 0\\\\0 & \\frac{1}{2} & \\frac{1}{2}\\\\0 & 0 & \\frac{1}{2}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1/3   0    0 ⎤\n",
       "⎢             ⎥\n",
       "⎢ 0   1/2  1/2⎥\n",
       "⎢             ⎥\n",
       "⎣ 0    0   1/2⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A=MyMat((cfrac(1,3),0,0),(0,cfrac(1,2),cfrac(1,2)),(0,0,cfrac(1,2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "916bd6f7-48e3-45cd-a595-e6ff214c3611",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\frac{1}{9} & 0 & 0\\\\0 & \\frac{1}{4} & \\frac{1}{2}\\\\0 & 0 & \\frac{1}{4}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1/9   0    0 ⎤\n",
       "⎢             ⎥\n",
       "⎢ 0   1/4  1/2⎥\n",
       "⎢             ⎥\n",
       "⎣ 0    0   1/4⎦"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.pow(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "f8996a9f-420f-4541-9d1a-a3f2b5f32ddd",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\frac{1}{27} & 0 & 0\\\\0 & \\frac{1}{8} & \\frac{3}{8}\\\\0 & 0 & \\frac{1}{8}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1/27   0    0 ⎤\n",
       "⎢              ⎥\n",
       "⎢ 0    1/8  3/8⎥\n",
       "⎢              ⎥\n",
       "⎣ 0     0   1/8⎦"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.pow(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "3332dc82-01e7-41f0-9aa7-975eb5aacf09",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAHoAAABMCAYAAACieqNUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAHW0lEQVR4Ae2cS24VRxSGryOPI2KkLOCyA0eRMo8zyTiwg8AOYMosgjkDyAqieAewAwxSFgALiIRlZQPO93f63DRN93U9utynbndJ7Xrerr/O3+fU20fX19ebHPf06dM7/P4BzyPC3+W8a/1tOQkcQ84pr383UsU5+fdH8jbtb8/afBG+upkkABcfqHo7VD15R8edjOeEVbjrPnYj/TAveE/ae/xf+nlr/NYl8Gygxp9Ia7jpEv0SwvYSO/CiNcmJBODuVR8KaUpqiP6qn7nGD1MCXY0+zBZ2WsUXbubtE8n3eJ55tGIlcC5GoxGeBpxv8Z/waDzyhOc14cEBDHmzuFI4F0E0wnsIa3fwz409wleEFX9paXP7JXEugmgI1BRRM4S+e0vCGQL2MjUshjOrj0ZAMnuPJCyeLXH1gZ/wZRo9OeH7YlRKms0ylL/T9hmBF8N5nNMoCJWg1Ne5dWAM0daTuRtQGucSTLeRqD55zIV8DGO/nSq9KM4lEB1CxN2QQg7KJOMMNt2YlrzdD6TEO45mENblnjpNizSvntsVxRlD9BwkZQufj+uKR+8ZMs+WZoOy7PpSX1Aa51JM9xsI0Ayh70yjle/BFcMZrNEmBb68ZvGBuPoLacRny4jkK83b/vSfwsnTd9o/1+7bVT9jpngxnFEajUAeI4A3+M95NK3Ss1tZIu2UuH0IZhZJmteBS3PoS/zddiph+yB/nRfd/7WXxBmr0drf1ApT06cBTP2fmb8NYeV53Z+W9sr6fI+vwZf8H1vMBN24IjhjiX6NOLQR0Gg0vrR3p9FuRDUABKwyz1rFc+1K4Yw13bbr8xhAmm7dwx9aWnQtzCWCiyVafbBMnsyL1oZFeBUaDdZFuyiikdTvEHufR/2wdlrUZz8grA9gdY4lEEw0ZG5px2erN6Rp3ifTrbzVOZZADNEaaZ9Abn/aJJK9LDg4FvW80GJH3TLXmqLYseC7xHU0RyPaDb5Id7s/DT6bO7u+bFACZxTRAJBWj05R2nyX+9Ng0zjijEeub5X+S3XwtxTOKKIdyCEZAgL0vJiza1cpnMF99A7JGqhSAivRVdIWDzrbdGNqbFfI9aH4eNEc1i+yNBqSqzgUf1iUpbUmmWhIruJQfJpYDu9XyUQjCs2pNZLtO2+H4vv4FhnP6aM1Jx3aubLzV8r3cCi+IRYLtCXgdjGnAcmfUjiTiAZMyILD7kCCNWJOH8z6AF0u5nTlUgpnquk2Epulzy7QTjjkY+gUX4MlJZBKdAgmrYOvzokEZLq/brGYHwLtck8h0/bZDsVj/qq8bBCCmzIx5+u/NZ5E9D9txHzLG/WpzPWh+EhhjLbztjMK4P7b2pBjuosdNjdwqz+dBJJG3W31xQ6bT9U8NEQDwr2XCSjT3Olu65SlGpoyTgUp+j3gecejM3pZLlmjW4G4PRQPvlMks/cygYRImT/wdbpVFsrVQUdw6cKE2pHtcjRaletLc3koHiFp1W70MgH50uSLttxGPo8OO7pwYDkDiC0+ZWPKIhowmkePnjjJRlf2BdJ2nWjd4ktrdNXIxdk3cKjLEabJupFk0w2Ial0rSAlTGixfBMsyiXwP7iFYJv0/MIskGiZPWjY/IFCZbFmm5sIgYWn4bI76dRFw8j2CRRKNMK3vuzBGW7IVVd84i2s/Mh2pNnyT4cjqoydDMc+LJEzT7C6CyYXcffkNYXUjus9mp3YU37Rx/dfDZE1fMtESpvbUmwEYQtTg5yP+bAMy6m5mCuBoHHF1Ixo3/EZY3UuyO1iiWyGN7j+T/4pHlwRtwUT/BDZ7YSKZic4PwSRNfsHzc5usgaKuK68a3ZFTE0QoMsF7958pM+nIto8hJQ4mWRaNE/7i+YH4Nynv6f/mYDW639Ba4hC7d6EntR2LHHWnCqvm361E18xeBPZs042psamA+wP8NWGN4DCoaJZGI7hqDvDXhDWIuchCyUQjuGYLEH835CesuZ7i3rb7qsEayV9w8WSiqaGmA/w1YQ0mL6ZgTh+tud7QNpotISp/p+0xoAqUrQYrVnFL+0cXelJlk0Q0YJo12BsqHVpHvuEn02fXhFWtB++NCz0pUko13UbivvXXkI8hBXPsb2rCGtu24PKpRIdUUNMB/pqwhsj+izJJppu3uD7A32ulW6yY6Vu7aJBENABdH+DvEu0ZK9hibl10mxUdzjHd2rfVCLHvrE+cbV+3D4h4TVgH4OcnJWl0W637A/wd8bjGimZr4Fr0okGyRgNOc2i3B/g7JG88YwXbKViblTv8wZkKZbIvGuRotGTp9gC/wPWcS6yQuHf/mXxtGmVfNMgiGhCaR1dxgL8mrL0PVNqefdEg2XT3wKzRAhLg45Qp15N90WAlugBBE77SZjDZFw1WoidkZepXodG2QXRh7267IEXPLC3EX4kOkdK8ZUS2aXYXiX0E3bTRcHcwJvPQL3hOmvZyVzefBIIuGsCT/ln+dgymiNaXMTZyjvpqxipZ08clAEEiZ3T/mfzQiwZ2dm+wsn8Be8PvhFEOq1UAAAAASUVORK5CYII=",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\frac{1}{81} & 0 & 0\\\\0 & \\frac{1}{16} & \\frac{1}{4}\\\\0 & 0 & \\frac{1}{16}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1/81   0     0  ⎤\n",
       "⎢                ⎥\n",
       "⎢ 0    1/16  1/4 ⎥\n",
       "⎢                ⎥\n",
       "⎣ 0     0    1/16⎦"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.pow(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "140618e0-b40b-4e90-8508-534e6e085fa9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\left(\\frac{1}{3}\\right)^{n} & 0 & 0\\\\0 & \\left(\\frac{1}{2}\\right)^{n} & 2^{- n} n\\\\0 & 0 & \\left(\\frac{1}{2}\\right)^{n}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡ -n            ⎤\n",
       "⎢3     0     0  ⎥\n",
       "⎢               ⎥\n",
       "⎢      -n   -n  ⎥\n",
       "⎢ 0   2    2  ⋅n⎥\n",
       "⎢               ⎥\n",
       "⎢            -n ⎥\n",
       "⎣ 0    0    2   ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "B=MyMat((cfrac(1,3)**n,0,0),(0,cfrac(1,2)**n,n*cfrac(1,2)**n),(0,0,cfrac(1,2)**n))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "24503c28-f714-4850-a049-e152cdd8e5ec",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\left(\\frac{1}{3}\\right)^{n} & 0 & 0\\\\0 & \\left(\\frac{1}{2}\\right)^{n} & 2^{- n} n\\\\0 & 0 & \\left(\\frac{1}{2}\\right)^{n}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡ -n            ⎤\n",
       "⎢3     0     0  ⎥\n",
       "⎢               ⎥\n",
       "⎢      -n   -n  ⎥\n",
       "⎢ 0   2    2  ⋅n⎥\n",
       "⎢               ⎥\n",
       "⎢            -n ⎥\n",
       "⎣ 0    0    2   ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "B.set('noeval',n=1000) # noeval op needed to no evaluate 1/2**1000.."
   ]
  },
  {
   "attachments": {
    "6c554dd4-ef71-47a1-a164-c3c3a54f7700.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAAGCAYAAACcsEwlAAAAmElEQVR4Xu3aUQ3AIBADUE4HwckMIghLszGSybg+HPT1fppQ513f8AgQIECAAAECBAgQIECgrUAZfm27FYwAAQIECBAgQIAAAQK/gOHnEAgQIECAAAECBAgQINBcoOZ+fPVsXrJ4BAgQIECAAAECBAhkCxh+2f1LT4AAAQIECBAgQIBAgIDhF1CyiAQIECBAgAABAgQIZAtcXCQNyeOdCfUAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "5d738718-ebd9-4c29-a590-664a34ea4e14",
   "metadata": {},
   "source": [
    "![image.png](attachment:6c554dd4-ef71-47a1-a164-c3c3a54f7700.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "65eb2e55-00e2-4b5c-895f-d3993bcdf12b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from  lib_MyMatrix  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "faa37aa2-e740-43e6-8e47-07511e7dfcbb.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "d1910e56-6f98-4043-9d6e-0c20b0af42cb",
   "metadata": {},
   "source": [
    "![image.png](attachment:faa37aa2-e740-43e6-8e47-07511e7dfcbb.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "1230f42c-1f08-4e53-af62-3272f5c464e7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}2 & -1\\\\3 & 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡2  -1⎤\n",
       "⎢     ⎥\n",
       "⎣3  1 ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a & 1\\\\c & 5\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a  1⎤\n",
       "⎢    ⎥\n",
       "⎣c  5⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A=MyMat((2,-1),(3,1))\n",
    "B=MyMat((a,1),(c,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "6e5a9ecf-a430-478d-b6f3-daa7640b9909",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}2 a - c & -3\\\\3 a + c & 8\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡2⋅a - c  -3⎤\n",
       "⎢           ⎥\n",
       "⎣3⋅a + c  8 ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}2 a + 3 & 1 - a\\\\2 c + 15 & 5 - c\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡2⋅a + 3   1 - a⎤\n",
       "⎢               ⎥\n",
       "⎣2⋅c + 15  5 - c⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}- c - 3 & a - 4\\\\3 a - c - 15 & c + 3\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡   -c - 3     a - 4⎤\n",
       "⎢                   ⎥\n",
       "⎣3⋅a - c - 15  c + 3⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "AB=MyMat(A*B)\n",
    "BA=MyMat(B*A)\n",
    "R=MyMat(AB-BA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "4f3621e5-cc0b-4255-a2be-cbfc4a14da75",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle a =4$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle c =-3$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a,c=simplesolve(R.flat())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "bd182979-66bf-43a0-a0f8-3068cc14714d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOCAYAAAASVl2WAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAZElEQVQYGWP8//8/Aww0NDQYAdmrgdgYyP4AEmcBMgSA9GwgfgfEJkCsBMRwAFIAUhkKEgGyy4AUyBQ4YIKzcDBGFUACBj0chKHhJQQLN0ZQZAGDGBRBIOACxKC4OQfE94B4NwDm+hiAOyllRAAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle 1$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a+c"
   ]
  },
  {
   "attachments": {
    "6c554dd4-ef71-47a1-a164-c3c3a54f7700.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAAGCAYAAACcsEwlAAAAmElEQVR4Xu3aUQ3AIBADUE4HwckMIghLszGSybg+HPT1fppQ513f8AgQIECAAAECBAgQIECgrUAZfm27FYwAAQIECBAgQIAAAQK/gOHnEAgQIECAAAECBAgQINBcoOZ+fPVsXrJ4BAgQIECAAAECBAhkCxh+2f1LT4AAAQIECBAgQIBAgIDhF1CyiAQIECBAgAABAgQIZAtcXCQNyeOdCfUAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "10ff4fbb-937e-4ef9-83c2-09e50ba8719a",
   "metadata": {},
   "source": [
    "![image.png](attachment:6c554dd4-ef71-47a1-a164-c3c3a54f7700.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "43ed03ea-9689-40e0-9ee4-d9c4eab87aeb",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from  lib_MyMatrix  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "d33b1b39-dd28-466c-a81e-cc08b08056f3.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "9d1446d9-4378-4378-af1d-fd5fc1b67aad",
   "metadata": {},
   "source": [
    "![image.png](attachment:d33b1b39-dd28-466c-a81e-cc08b08056f3.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "01be0e53-c32d-4f50-bc5f-3ffb4636270d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFgAAABLCAYAAAD010ABAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAGuklEQVR4Ae2dXY7URhDHh4jniBAp7xlusJs9AcsNIDcI3CAoT7tvCG4AuUHgBsAJCHsDcoBIWaGcIP+fxzXpsdvjsj1lz0KX1Nsfbld1/bvcH9U92lsXFxcnq9Xqo0KO3lxeXj7KPShlGwSEzyel1jk89OzW7eTBC6WpnNJfaaakswg8z5Q+UNlDylOAXwrxowRU7TpRuEoVUf6O8neXbrPkv0rbRVplRC2AKewlvcyQ8lrhVOnPvS8cpsJ7yQJQA5k0dLqJ4v+O1Tu14M5W1sr9rgrXCj8pZMecTgbTHyAXonP5yt4oPIvu4EPo7QUYS60mOwn9VWkUnZOuJHf2ybbuwEl6fzMnSl+jrAJwcK+7hojgNrjY63N9rIpMbt8rMAcwBtukp+xx0k2xYID9Q4C+UHiqNOGj0ufHCev/rboRAAvIBwpMtBUpzUrincLLTcnx/r0RAHfAB8hrgc1wcbR09AALwLcKXb4SgGX4OFo6eoCFHBubHIh3QVXgH/VEdxMAfiUQ7wFmg5jgGIePmsYAzDIJqixokwz9ixNqZzJTnt0kNOfubpTe7nWwlMLBA9nS6LXKmGgYI1separmAf4gQ+G5goFMx+Kb+FFl25XFAURlWUjGJL2HADyntewoKyXpyCc7hTNlJHuS3mOGiJlU+zLEFICD+7EAXAAORiCYfbHgAnAwAsHsiwUXgIMRCGZfLDgYYPdOLrgdR8leu7i1GoZrgNOUUdvyQQBLiF0T+kdC8XDhI2AbG0q1ohwTQbgv8UU8VXm0q5LrCfhAcDgpatFnlX/XKk0K3ACLEU5vDhq59LFSjI+WczGOc8JAFm+sCAW571WR0nS0yY50WZ5JDvxz+mHZ1ulK5skFsBSqTnQVV+DCSml6jzw9vFWeZwcmwNxx9Egu1kub8HTttaCpbZGclm4qo9NXird4dMnxTnJ4lHKf4weVn0tQ7sShS+bQcizlU0YGlnVH5ZWyQ5k666Nfjhgadzo9V4kyL8AoybjXJPt0eB5F1ScqhbommbDOlcyWhaqML+qZV9neIUIMPQqEnW5Ifpc/lglopee5L8ur/6B6ksXXwlXa3rHXGHss2MDrsiB4eTrBZE6OpSDgoqxb0clCNwywXoKbPAB7mNl5lafuIeowufHzBm7lz0K19TLfDFq1eADOjb2mlFk36+JZSAqyauGcrmvoiGoHk5rNOW4ZAPxtXdvinZeliA0NuWHAygYL3hHizKgtLM342UBr6eRkMaUaPwnYZ2wp7x8sA8D/1hmL7Vka81ms04I6bRY86LPJ8OktEqgoeE/x1nKVnuXqlORgSOhvxtbX3r+tAgB7iDGPLWqTTlXA7XOv4Ob7rrz4n6jimeLmpDbEqlyyOiqZ7l4L3rLpXaZRU4pxu4bd00OFam2omF79WeE+daJIcrAcOvid0nY3wsQx6cwx0aErNNiQXABveFe/6GEHc6Y8kxrxfeWv6udR0VsxBmTG3yZFyzZ5yAHcrp2d1WvFboAFJAJc28OWlAkFkpu7lzaB4/BX1QYm8VE+D+8YPLxV5Y0KgQJwsCEUgAvAwQgEsy8WXAAORiCYfbHgAnAwAsHsiwUXgIMRCGbv3irTDm0Z7bhk1osnS8qWzmvJNxcBTh/y+GRcLlr3ECGGXDz5oBivGh4sXIf8wgiBobSUbMkFUPS1ANB49NAbV2kvuQAWs+zFE3G3iye9gsZWWFK22ozejxtgmuX+5tHJBbAYcYqQcw3ivsMnS09H0ZKyzU2JJ7Ei6bpNW9m+2DsGn4tJ7seGdhbH89YljX2CBzxbTLbAxFp33JSJNTed/1mVei3YaZ12NpcVMrZwSdm5Nqs9dDYT/ROlcwbXeu12q6RdYODt+zSihoglZW+REJicCQIupzgMG38quMgDsIfR3BdP0jaFyxbAgFrNQUqzeuDq7COF3mGxd4gQs+tUm0baLCzq4smSshuqbrI1qHzN/Bi+98vtBVhMbGjIMbMym+yyjRpbuKRs2iz5XPRjeGiSDREMG3upF+D6bWbTdYaTWbCtDTNVJhctKZvNFcOBGdJgZbwAL3nxZEnZfL1cMiROyS6i9BqWC2AJYElyrXi7Pax7lYsnv6SSD51eUrZ0qdwBqU41Blg0S7Um8GnVKj1kFcE1qSUuntDQRWTTuQrsVNNNBUMlP/zptV4a7gZYDOkt8yrx7my0sGyAdIGZA8Q1ROReLGU+BArAPpxG1yoAj4bO92IB2IfT6FoF4NHQ+V5MVxH8mrL5VvlHJU1EGnlh1vmPSqgKwPgRupZfIT4GBH9BZAfBWZX+A+8yH8TeScd9AAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 5 & 1\\\\0 & 2 & 7\\\\0 & 0 & 3\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  5  1⎤\n",
       "⎢       ⎥\n",
       "⎢0  2  7⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  3⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# easy write Matrix\n",
    "# upper example is 3(row) by 3(col) mat.. and the item are\n",
    "# 1,5,1,0,2,7,0,.....etc... \n",
    "# then\n",
    "# we aldo input array matriz like (items1,item2,item3...... numrow,numcol) see how..\n",
    "A=MyMat(1,5,1,0,2,7,0,0,3,3)\n",
    "# is mor easy that this..\n",
    "# A = Matrix([[1,5,1],[0,2,7],[0,0,3]])... your agree...??"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "dea1317e-c5a1-443d-80c4-bf9d5395fc42",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 5115 & 1027059\\\\0 & 1024 & 406175\\\\0 & 0 & 59049\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  5115  1027059⎤\n",
       "⎢                ⎥\n",
       "⎢0  1024  406175 ⎥\n",
       "⎢                ⎥\n",
       "⎣0   0     59049 ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# so brutal methode....\n",
    "A.Pow(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "0b7d02c0-c8ca-40b9-bcf4-90be01fe9391",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle 60074$"
      ],
      "text/plain": [
       "60074"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1+1024+59049"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "a36cc3d2-2a1c-4b14-9e2b-65a0b41acfe0",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 5 & 1\\\\0 & 2 & 7\\\\0 & 0 & 3\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  5  1⎤\n",
       "⎢       ⎥\n",
       "⎢0  2  7⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  3⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# analytic methode....\n",
    "A=MyMat(1,5,1,0,2,7,0,0,3,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "b765cbb3-53e9-4013-8ad0-7d00757e7545",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 15 & 39\\\\0 & 4 & 35\\\\0 & 0 & 9\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  15  39⎤\n",
       "⎢         ⎥\n",
       "⎢0  4   35⎥\n",
       "⎢         ⎥\n",
       "⎣0  0   9 ⎦"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.pow(2) # A.pow(n) only evalue but not modifique the initial value\n",
    "        #  A.Pow(n) set finaly A = A**n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "25451679-2318-4413-ae4f-7579e861e8ef",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAHgAAABLCAYAAAC7ikPRAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAJ50lEQVR4Ae2cXZLUNhDHZymeUwupynuGG8BygpAbhNwgcAMonuCNghsAJyBwA8gJgL0BHCBV2WzlBPn/vG6XRpasnl3boxncVRp9tdVfakmWND56+vTp7dVq9UUhBe+fPXt2P1WxlNWhAdnnqzhZp7hR3dH1oOKl0iCH8C3MLOkqNfAiwdWvKvuN8tDAr2TxvTao+L+tcBoKrPyx8jf3XbZQpjAtuV6HedIqI+oZmMIi6GGG9HcKd5Q+Lz4wAoLoMAQ9bJvCYORfqPxjW2bRXyqj3oxMGrhzEU332/L4uKVwovhM4bHKjZemaks8j8wtyXQUenAaQ6ViCkW9UYBpmE+O+SofHVraKMqEhR965wfF9xXeB0ThD6ATMhpR91w454onA7WPPhgBGRobUJqh8wtlCk1HVOzFQ99emS8IZn6vZco3isXYuQLKRMlvNyqnzzwQiQei3Qw5LTnz3CcR+VPh3VA4UrilgJImNW5LH2N2HZAyaCuCNqOdgRdvG5mt7WTsMnDyyfkKGeJQVGeomYy2jYT3hPxVfB1HD9ERj1WO5wJevNFkdg3RF7zt5lfKQUk3QuoqM29+FZbvMA2PLPC6ThjxYoZ34Y0pc/UGjhS1kvB4QTPUKZ1aQTK8odAfFfAc5mA8YjJQ+7m9AtYCK6PvxYsZ1XODMsf4YX5vDCwhURaC3lXAYJ8VYsCwfwq38STFGJihs1voxA9MlW/5hb6trJOkhvDaupLMyXatcJ8MjFEbT5TgDNGsUDdW0cp3q1gEVP6bAsMiQ/ktymYEFlfsBLKBNARZPD1blHmoYequlRBqrJfgvP7gpe+UxmuHgNeltfDwpllAtOhQdK7c0N3w4cUDWbjbyNy0z0/1BpZgLF6auazj+iJhQzRDGArgvTi3pw5KqSOAc2UQD6wB2DnbGE3ihofwVOeSOW4zla/ewGIaozEclwx0IrwUzk0E1/PN8E56KhANpg7evzvPVbo3ejjwvDIXRdkHA59LCuYy4hAwKMAcC7wWTmqexcMNp0Gc4ke0GWXuKo4XVRj9zGg68bwyW7PZ+DKLLF4/ADwjVnpTMfJPrLCVlITSjhUeKm08sFVI6HaUlH7U8tJ51Mi8Nc2JDvM7i6WP8BDRuKeyZqHlxdPzXpkjUv2s28BizrbcmjlPTbHAYQHD3Nd7H+2TulwJbSugpFBxKHTj1Uf1LGo4gDA8OiCe87PKrBNcjonyUx+EAk/MvzGEU4MLT/y6ZI4JpfJHwYE/c8deHxemBPwey2RHOhqj2dG171EB35PMi4EP3NqLgRcDH7gGDly8xYMXAx+4Bg5cvMWDFwMfuAYOXLzFgxcDH7gGDlw89140etDWF3ehgH8UOLlh73cn25uiy2HDEwUD8uyPT35yZARTsehzqsS+ffKPAapfq84OROCZfO8SvxdPzw6C28AiyBklF9i4WbBSDHN2sXsXRkYppihYgqfmhofihsemcIYf0UMXxT8GtHjFC+1ePI9orjlYBJubioo7xSl9LgLk7fTGQ28UnJYfOlwMf6gg9Oq4fpI8ulDw/DEAPT4QLsedBjbihHx78ayNbOwysJ7mPDU89rIGPynBUR49eE5gehi8EjMnM1vQQoc4BqEBOoelg9iLFzySTnqHaM6AU2e+NjRT33l3mtSopXSsR1IO56t4jimJNcLsI4pXMvGJtxYv8XvxPHSLBhaxY0dDHK7PBuKJKzx0KIa6f5XmBgRezeWDOTuaSF4exCuOkb3Eby178Qw/jIsGFrIZz7wkfN7Snk5guKPEEhrPxVuZr1ASo4mt8pWsF8Q3K22Me1eB4fizQg+8eL0HgwLvHBw8kkzaPa1k5RSFEh7vpdPhuQx9awX+xRAuYFRUH4hH/gX5UoG1zVsF3kZ6fHvxhiT0GPhsoAHzbt6LZwMJjtdyJ4tXDu5iseCyi3VvlJ99RLms8OKVKYWOOniJ34sX84GBf2gLLd7AUcMQB1JKszJbbF1gTv/LULxx87BVAN4MTwx/1YF4dF1o9+INCPiT1WHg/9qMxVYXxjYEhmWkzYPtXS6uHz0v4TEg/7k9jxtXGR0NjzC+YpRd53l391zi9+Ll5PnbKjxDNLhsvZ3YQ0HMty+YT3rKDnBGTba02FhYZxqmA8zW4TI85IrRk+cSvxcvR6crdxlYyuQd+ExxtxBQGkX+rsDu0dzAfNubs8QTczOvSnNPGaH8tuBMjSJMK7y7d9DqFF2Gl/i9eF07uYT7XnRrUOY+eheLKpb4k/+5WjSSIH5uq4LtvXARuLPDBvHDKAcw/2OwUwU62sYfA4RHvS0IlcweNrjwaCAG0aCjN/ei3QaOG1ny9WogNLBriK5XlIWzkgYWA5c0tOf1i4H33IAl9hcDlzS05/WLgffcgCX2FwOXNLTn9YuB99yAJfYXA5c0tOf1i4H33IAl9q+XEJb66TWgnae1qLA12X2GcSyqWxlYjNiVGPaiOXvd2cV3FFAbP/AUQ2s8O7vmRI69cy4qsFdtwL4614/YP7ayMOb0bOOyXlg5lHYP0SLAGeUnxTDHZ4GaEw+l6X2zQ238pBTQ6qb5tJPSnBY1x6vC5UwYjzXg4IYjTk7t4sCBxaVP7FweLGY4neCQvbuxqDS9ijw9b9Y7yrXxI/lzwIgX//sCB0GfnD51Xqmyng5V1jiP4k7vOUK5cq8Hc7wVDinWHveTd3HxvTZ+TB9xjJd6vgSPHlPQ+3tOCmmozGtgGGXuiMEO1sPhJsaZIl8bPzkZGXa5FMgZego4N16lPFRleP/z1EPblF0vIYtQw0QBL3V7ofDI5apr42dICvEaHuyHqCyqVqpPjYqUMzRzQc8WZ+GzW6U9HmzGy/VCCHo6wVaMDSDXxs8Aq/0qGQ3jYsAh4+G99sbSb2SLEo+BPc3ZPSQP7hw4tfETysziKvsl+NZ7WdeMcnHQY+DU3GsMmzfxXjwX1MaPW24ZjTeO0pfgWXXb2sbddg6xaGAxZUNzahi2stEYyjFq5bXxY3yVYvHNq1HxS/DC4ebqUCcukdqoLxq4xWa4WG88eZExDx5lOEm0nyuqjZ8cn025jIvRPF+Cx2HQszlV8/xVfrwGZt5gmy2GZmcm8Kq4fqp8bfxk5ZRuWFQVvwTfNmA6nteDxWRVF99r4ydnXfGJN9IZ2QVky7ILKgsvulsTNuWN5sHF92CjrBhvZWeFfVO7+P6L8qcBzpzJ2vhJye76wnvwILrEuJ+Csisl3QaWISG8sa96JcpXfLg2flLiiEdO3NwgfBar3f60+8EBRO8cPNDEUlWzBhYD12ydEXhbDDyCEmtuYjFwzdYZgbfFwCMoseYmwlU0B9Mxr2yK5468YtwlvwMNyD5fRXadI42BWZrnXn9m22POMbiUFzUweKz4P100D/nn+w+7AAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 35 & 223\\\\0 & 8 & 133\\\\0 & 0 & 27\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  35  223⎤\n",
       "⎢          ⎥\n",
       "⎢0  8   133⎥\n",
       "⎢          ⎥\n",
       "⎣0  0   27 ⎦"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.pow(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "c0dc2910-4927-490d-adfa-5ef7acf0b76e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 75 & 915\\\\0 & 16 & 455\\\\0 & 0 & 81\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  75  915⎤\n",
       "⎢          ⎥\n",
       "⎢0  16  455⎥\n",
       "⎢          ⎥\n",
       "⎣0  0   81 ⎦"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.pow(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "4e058870-fd4a-4d81-b069-f6b450ba39ae",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle 60084$"
      ],
      "text/plain": [
       "60084"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1++10+2**10+3**10"
   ]
  },
  {
   "attachments": {
    "6c554dd4-ef71-47a1-a164-c3c3a54f7700.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAAGCAYAAACcsEwlAAAAmElEQVR4Xu3aUQ3AIBADUE4HwckMIghLszGSybg+HPT1fppQ513f8AgQIECAAAECBAgQIECgrUAZfm27FYwAAQIECBAgQIAAAQK/gOHnEAgQIECAAAECBAgQINBcoOZ+fPVsXrJ4BAgQIECAAAECBAhkCxh+2f1LT4AAAQIECBAgQIBAgIDhF1CyiAQIECBAgAABAgQIZAtcXCQNyeOdCfUAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "21974934-2c47-470c-884a-9d8d44cd98f5",
   "metadata": {},
   "source": [
    "![image.png](attachment:6c554dd4-ef71-47a1-a164-c3c3a54f7700.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "3baf2997-c84a-4b42-8a07-f414e10816d7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from  lib_MyMatrix  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "90184a0b-88a3-4a6c-8122-72845a47102d.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "528e51db-ddc6-4e94-9849-e4116d6248f6",
   "metadata": {},
   "source": [
    "![image.png](attachment:90184a0b-88a3-4a6c-8122-72845a47102d.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "9a389dd3-66ec-4686-ac5a-8891026af6e8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & x & 0\\\\0 & 0 & y\\\\0 & 0 & z\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  x  0⎤\n",
       "⎢       ⎥\n",
       "⎢0  0  y⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  z⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A=MyMat(1,x,0,0,0,y,0,0,z,3,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "30e086e8-6c3f-4ecc-8cc0-33b81c4f9c13",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAGYAAABLCAYAAACC7fKKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAHhElEQVR4Ae2dXXIUNxDH1yk/pwhU5QDLDSA+QZwbhHACww2geDJvFNwAOEEKbkBuAPgGcIBUxeXKCfL/jSWhlTU7rZ3RysHqKlmalqa71T1S66MXDk5PT++tVqvPSjl4//z58we5io6bpwHp9YsorHNUVHdwGFW8UpnGMXyNH3p5UQ28zFD7TbjfwceGeS1LdUNktFUDJV2/SekKB+qKYdJ22We9zNT3Tum+yhfZRh05WwPxiBklJgPcUuVbpXOlX5Syc6PwHRbSgNUwjIxhESAjPVGZUdOhogZ+qEi7k56hgW6YGcqr+appKqspgIW283GPXNsj5SdK+LmHDvdRbd67cpWsRIao7V0J81nPYQXm6t4q37o//L+MmJfqyCuSOvpRiYXIsZ6fKmdhktsTCL0olMjwzMn6QRKksv0h3LAk3ibdtR8x6iAjJe4cCxE6xqgBbivF9QNyyT8lMqgtCyM+HoANIyvZGMD9FSNy5WtvGAn9SZ2NN773hTsTDgOtlG+dEmizAJTI8FUynTmejI4XCf/jDC5pslpd+6ks6qQXns7+6R/2kZfIoLb+g8EATLOxf2E0gZscMdfeMOpEAHXadzY4euFukUKjyoUCGRjJYWQ7sZD/QjT8iBqV9nC05hpUOIVz/IPj5St7rETH4qkNR8sioArMkGEtgWI5kc/kX2i4y4i5w4sCnG5t4AsjnTsFbThS4ajzjraWLLvKsGEUJyu0WKlNwuFkC9dAhPlyAYgD74SD+QflYR4dapb7wyiB9sBTfB4rwe+1cNwhYbAwrem5BuwqA6OY/Qorxn+U2NMAk/6FRgfRRdldEdmwMg06LKMBZyD2Xqwqs6A6tgZcvxzsMpVliXbkNw1gBKVwK6wyixOUni6dv72UlLphEoUs9MgGOF7Sc1LxRgYyT7tmH7OQwDeFDP7ltgzBFQm+henJ5Fu8grphvCYWzEtGxhjbPpWNaaYxvhumsQHG2HfDjGmmMb4bprEBxth3w4xppjG+G6axAcbYFy2XtQz0N4X+7Icd7t6OcVrzH1NiDbx5xEgpHDEQ9PBUibt3NlEcKK5rCJbSbM0/laf2s8kwUgrnPFxIhSMFlS+E45mT3qrQmn/Vzo0QNxlG7w63cRka3IVwYlr7BrE1/0zX66KshuE+ZOOSyonl/Qv1NaE1/5p9y9KedP7G0VDtNrM1f7TmZGA6Nwfw6R0CL/zl4gM9c/+/Fo4ZZvJi0TJivNLxKWNQcyprzZ8+FwXwSfHog6N+/C9+mNUrK1rySaOo3WpyxNDIAD4OwNC0SpNq/KVIvnwfV2AN4ONj+lXvho/ZGebE2nuLYXK+xdP3XzP7mlrQmn9xAJ+M4H3vSmVGzzOlFyoHQ00pi6nsR9fI5xvvRMRgkILHBUHSBnOfrwt/ycEChP6GqUg4RhO47CWY6vEpj5Sz97tQeQp+9g0wzL/uwee+Ls5hDJMU/IjJCpY2nvHcmj+iFwXwyRAYEkfPZnwAlf2H7FFp/rdHYBgLsLrgJ34pEPGRRhumbZZ4bs2fPvBhpjNDNoBPBuDOnw15GF0QELAgMIHJMI4BMVwwHEBlrE8csdmhXb5Z/rc1fyfxhlEk0zAiVLcRwCc80xsRo0cqc2T1RInVGD/VN0fJWJy/6A3A6IDBkXKcPTkrjzPl+4DW/K0BfA+lE0bSSjkfMqMEoxKsaNZVD/iTxnYBKZl9CT6ED2YREK0e8FeiSYygxOn6ACozjRcF8LlXzZnJx5ipfb8NmZJmBfCVqqbEx5TS/p7azw7gK1VGN4xBY5q6wj2UofkiTfpUtogalyfSDbO8Theh2A2ziBqXJ9J9zPI6XbnlNCfKwPoyW50IbznIHJp3wzitLZyx7+FYZgCVuTBjH+R/7ndZseVvn8q2KGdGFUf9x9H7nBKsheMczQRFI0aEYQBwVob1+TI2DveorAWt+Rf0i9HyqaD9labmESOlMBR7wN8VFV5FSFf8rC/2Jxgqvgm9+lKCMRlGTHrAX6I466N0x/TFkU7RYafJMCLaOuCuNX+rHTbayShrIZj+i/9hV6uPwZGlt3EI4f0L9TWPLVrzp69F4IzCXb+/m8FIKz17nW2lN2kYEeKIewr83f9Uu+L61vxTgSUPU9PWQD61wQgskTGMX4nhZzgMNcGkYUTFKz12Zilxi/HSd6zPrfkHOd1H4gP57qiCVSm3kiyFmW49sFBCJ+QB1CbsbQJypGAxzMirG2iEbAn74s9HMhnIJwP8NFcZFsOcb2Hiv2b2NbWgNf/QLyk8+AeVGRHFgXyB2ERhclUmAfwUlpuuPC4IPMGvuLo1/5zAkgkfwu7eGsiXI7MVN2kY93brgLvW/IMSZYxjPZQG8oX3rQWrYVoH3LXmP+hTRmGjOCuQb1HDSCD2MDc64E86uCcdsKqaFchnNYzF+XtaHCmwPCTQD2dPfpMC/hYJ5JPOTNAD/kxq2k8jffQ94G8/qt6di9X5786hv7mTBrphdlJb/Ze6YerreCcO3TA7qa3+S/Fy+YtWBSnH/h+UphpZ6Fm6Hv0PSmGBYTjnGjuOrnYGBvMbDj6wJauG/wCpp/9LNeYpwgAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & x & x y\\\\0 & 0 & y z\\\\0 & 0 & z^{2}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  x  x⋅y⎤\n",
       "⎢         ⎥\n",
       "⎢0  0  y⋅z⎥\n",
       "⎢         ⎥\n",
       "⎢       2 ⎥\n",
       "⎣0  0  z  ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A2=MyMat(A.pow(2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "aa97e10a-4cc6-43bb-aa69-9605297d2004",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x^{2} + 1 & x y^{2} & x y z\\\\0 & y^{2} z & y z^{2}\\\\0 & y z^{2} & z^{3}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡ 2         2       ⎤\n",
       "⎢x  + 1  x⋅y   x⋅y⋅z⎥\n",
       "⎢                   ⎥\n",
       "⎢         2       2 ⎥\n",
       "⎢  0     y ⋅z  y⋅z  ⎥\n",
       "⎢                   ⎥\n",
       "⎢           2    3  ⎥\n",
       "⎣  0     y⋅z    z   ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A3=MyMat(A2*A.T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "6ce44bdc-7709-491c-bb88-b3afa82c3c43",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x y z\\\\y z^{2}\\\\z^{3}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡x⋅y⋅z⎤\n",
       "⎢     ⎥\n",
       "⎢   2 ⎥\n",
       "⎢y⋅z  ⎥\n",
       "⎢     ⎥\n",
       "⎢  3  ⎥\n",
       "⎣ z   ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A4=MyMat(A3.col(2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "425c2de7-8553-40bb-9fbc-d9fc70747f51",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}-6\\\\2\\\\-1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡-6⎤\n",
       "⎢  ⎥\n",
       "⎢2 ⎥\n",
       "⎢  ⎥\n",
       "⎣-1⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "B=MyMat(-6,2,-1,3,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "c16eb66b-86dd-45b3-88aa-a84b25504b4e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x y z + 6\\\\y z^{2} - 2\\\\z^{3} + 1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡x⋅y⋅z + 6⎤\n",
       "⎢         ⎥\n",
       "⎢   2     ⎥\n",
       "⎢y⋅z  - 2 ⎥\n",
       "⎢         ⎥\n",
       "⎢  3      ⎥\n",
       "⎣ z  + 1  ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A5=MyMat(A4-B)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "af482119-7678-48cf-97da-3be0258c8b7c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x1 =3$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle y1 =2$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle z1 =-1$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x2 =- \\frac{3}{2} - \\frac{3 \\sqrt{3} i}{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle y2 =-1 - \\sqrt{3} i$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle z2 =\\frac{1}{2} + \\frac{\\sqrt{3} i}{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x3 =- \\frac{3}{2} + \\frac{3 \\sqrt{3} i}{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle y3 =-1 + \\sqrt{3} i$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle z3 =\\frac{1}{2} - \\frac{\\sqrt{3} i}{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1,y1,z1,x2,y2,z2,x3,y3,z3=simplesolve(A5.flat())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "ed4505e8-c2ca-48a1-a77c-b9eb0ba4b4f3",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 3 & 0\\\\0 & 0 & 2\\\\0 & 0 & -1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  3  0 ⎤\n",
       "⎢        ⎥\n",
       "⎢0  0  2 ⎥\n",
       "⎢        ⎥\n",
       "⎣0  0  -1⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A=MyMat(1,x1,0,0,0,y1,0,0,z1,3,3)"
   ]
  },
  {
   "attachments": {
    "6c554dd4-ef71-47a1-a164-c3c3a54f7700.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAAGCAYAAACcsEwlAAAAmElEQVR4Xu3aUQ3AIBADUE4HwckMIghLszGSybg+HPT1fppQ513f8AgQIECAAAECBAgQIECgrUAZfm27FYwAAQIECBAgQIAAAQK/gOHnEAgQIECAAAECBAgQINBcoOZ+fPVsXrJ4BAgQIECAAAECBAhkCxh+2f1LT4AAAQIECBAgQIBAgIDhF1CyiAQIECBAgAABAgQIZAtcXCQNyeOdCfUAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "1d549dc9-fe4d-4fe2-a748-1654f8c9198f",
   "metadata": {},
   "source": [
    "![image.png](attachment:6c554dd4-ef71-47a1-a164-c3c3a54f7700.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "f3bb89c0-6821-46de-8ff2-57e668b0f9c6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from  lib_MyMatrix  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "5fd9261a-8dca-4ece-9938-226475398ad6.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "dc6ab648-e171-41b1-95d3-220fd1103c61",
   "metadata": {},
   "source": [
    "![image.png](attachment:5fd9261a-8dca-4ece-9938-226475398ad6.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "3a53572b-9ea0-4baa-b777-84453a11b6ea",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0\\\\0 & 0 & 0\\\\0 & 0 & 2\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  0  0⎤\n",
       "⎢       ⎥\n",
       "⎢0  0  0⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  2⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a=0\n",
    "b=0\n",
    "c=0\n",
    "A=MyMat(a+1,a,0,0,b,c,b,0,c+2,3,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "6811a428-3a53-47fb-acb3-60a75936a093",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0\\\\0 & 0 & 0\\\\0 & 0 & 4\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  0  0⎤\n",
       "⎢       ⎥\n",
       "⎢0  0  0⎥\n",
       "⎢       ⎥\n",
       "⎣0  0  4⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A.Pow(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "a1155fef-f698-461f-b895-28a2922998b6",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAPCAYAAAA2yOUNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2ElEQVQoFY2R4Q2CMBCFK3GARjeoG4AjuIIrOIL8hH8mboAjqBugI8AGOIJxA/xeoUnTxMRL3vXd4/ruGsw4jqaqqlxnDDQLnLSlmeJZ17WF9nMtriiUMiXiDT4gB2q4g4KL0owfge0tHpXy4OQv/Ep/NYXFDfMPOGmfNXDghOYfEpz08Yp4BiVc6OA7zmnxdFHVPKYFg3hw8heS9KJ2uLmM1IIuaYhLK6ct0E5prCRg0KvpAtmkHdRa+iFdTQ1NjYoQ1MeZ73UutD2ig+vZCo3RvyzR/b/7ArtsexdgsS92AAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle 5$"
      ],
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A.traz()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "20f1ac97-5eab-43bd-abf8-7d23beed7148",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0\\\\0 & 0 & 0\\\\0 & 0 & 1048576\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  0     0   ⎤\n",
       "⎢             ⎥\n",
       "⎢0  0     0   ⎥\n",
       "⎢             ⎥\n",
       "⎣0  0  1048576⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A.Pow(10) # 2*10 =20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "6307ef55-63dd-4be4-9cda-8f927d6c4df7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle 2^{20}$"
      ],
      "text/plain": [
       " 20\n",
       "2  "
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "primefactor(A.traz()-1)"
   ]
  },
  {
   "attachments": {
    "6c554dd4-ef71-47a1-a164-c3c3a54f7700.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAAGCAYAAACcsEwlAAAAmElEQVR4Xu3aUQ3AIBADUE4HwckMIghLszGSybg+HPT1fppQ513f8AgQIECAAAECBAgQIECgrUAZfm27FYwAAQIECBAgQIAAAQK/gOHnEAgQIECAAAECBAgQINBcoOZ+fPVsXrJ4BAgQIECAAAECBAhkCxh+2f1LT4AAAQIECBAgQIBAgIDhF1CyiAQIECBAgAABAgQIZAtcXCQNyeOdCfUAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "66a0d8ca-5a35-4b62-9118-585c636a8592",
   "metadata": {},
   "source": [
    "![image.png](attachment:6c554dd4-ef71-47a1-a164-c3c3a54f7700.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "1be14385-ad4f-45b1-b5b9-d4d88b566765",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from  lib_MyMatrix  import *\n",
    "# this cell will be initializing your variables"
   ]
  },
  {
   "attachments": {
    "1da4037b-8094-49bf-924e-52903cef68fe.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "597767eb-51f5-4989-abde-33a049417c7d",
   "metadata": {},
   "source": [
    "![image.png](attachment:1da4037b-8094-49bf-924e-52903cef68fe.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "0b7e21cc-9368-45b8-9231-b82c69fc3a95",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a & b\\\\- b & - b\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a   b ⎤\n",
       "⎢      ⎥\n",
       "⎣-b  -b⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A=MyMat(a,b,-b,-b,2,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "722bf944-a898-485f-8fa9-3b467654e797",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}x_{1} & x_{2}\\\\x_{3} & x_{4}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡x₁  x₂⎤\n",
       "⎢      ⎥\n",
       "⎣x₃  x₄⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}y_{1} & y_{2}\\\\y_{3} & y_{4}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡y₁  y₂⎤\n",
       "⎢      ⎥\n",
       "⎣y₃  y₄⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X=MyMat(x1,x2,x3,x4,2,2)\n",
    "Y=MyMat(y1,y2,y3,y4,2,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "c7af2bb3-5326-4c88-bfe0-997ac8cc896b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a x_{1} + b y_{1} & a x_{2} + b y_{2}\\\\a x_{3} + b y_{3} & a x_{4} + b y_{4}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a⋅x₁ + b⋅y₁  a⋅x₂ + b⋅y₂⎤\n",
       "⎢                        ⎥\n",
       "⎣a⋅x₃ + b⋅y₃  a⋅x₄ + b⋅y₄⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R=MyMat(a*X()+b*Y())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "99d05ad9-424f-406f-af35-09ebd54ec5fc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a x_{1} + b y_{1} & a x_{2} + b y_{2}\\\\a x_{3} + b y_{3} & a x_{3} + b y_{4}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a⋅x₁ + b⋅y₁  a⋅x₂ + b⋅y₂⎤\n",
       "⎢                        ⎥\n",
       "⎣a⋅x₃ + b⋅y₃  a⋅x₃ + b⋅y₄⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R.set(x4=x3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "60f1792f-7d2d-414d-a1bc-00e2c1cc1554",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a x_{1} + b y_{1} & a x_{2} + b y_{2}\\\\a x_{3} + b y_{3} & a x_{3} + b y_{3}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a⋅x₁ + b⋅y₁  a⋅x₂ + b⋅y₂⎤\n",
       "⎢                        ⎥\n",
       "⎣a⋅x₃ + b⋅y₃  a⋅x₃ + b⋅y₃⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R.set(y4=y3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "232335bc-a80e-4d2e-95c4-bc0c96617c12",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a x_{1} + b y_{1} & - a x_{3} + b y_{2}\\\\a x_{3} + b y_{3} & a x_{3} + b y_{3}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a⋅x₁ + b⋅y₁  -a⋅x₃ + b⋅y₂⎤\n",
       "⎢                         ⎥\n",
       "⎣a⋅x₃ + b⋅y₃  a⋅x₃ + b⋅y₃ ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R.set(x2=-x3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "f15bfdcc-a46a-4fff-9bcc-0020ebad48e5",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a x_{1} + b y_{1} & - a x_{3} - b y_{3}\\\\a x_{3} + b y_{3} & a x_{3} + b y_{3}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a⋅x₁ + b⋅y₁  -a⋅x₃ - b⋅y₃⎤\n",
       "⎢                         ⎥\n",
       "⎣a⋅x₃ + b⋅y₃  a⋅x₃ + b⋅y₃ ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R.set(y2=-y3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "5bcebc9a-ca05-48f7-b9d1-dbff8639b631",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a & - a x_{3} - b y_{3}\\\\a x_{3} + b y_{3} & a x_{3} + b y_{3}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡     a       -a⋅x₃ - b⋅y₃⎤\n",
       "⎢                         ⎥\n",
       "⎣a⋅x₃ + b⋅y₃  a⋅x₃ + b⋅y₃ ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R.set(x1=1,y1=0)\n",
    "x1=1\n",
    "y1=0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "5ec9e647-6f70-40e8-a20a-6ca1cbc9d70e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFMAAAAzCAYAAADrRjRaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAADi0lEQVR4Ae1b7VEbMRA1GRfATDowHQSoIKEDnA4IHYSf9l/SQUgFYDqAVJCEDkIHSVwC711Wx1m5z9VqfMSrGc3ptLrV09PuSney9xaLxf6kJi2Xy3VNtVeBAXBTy9kryH4g/4nyJe49NTOwgijmbLUHy/wJwTnYvm9+1iVtDIC7D5DPaZmejBiYGul5UWok5tFVj5B/4/7AYgA7aZkgb418AgIfkc3C206SWbHCNyjfVe6TijtLJizznTDnlplkQn8fLtycLm+gq1CRvAABzAyauC9l/PmFfIt8ivpPuI450TIfgPOjgDzG9Rr3xK9KSW6OjgmIm/4LlJlJ4GfkS5Rr3xIg23oSbIyXNIQrwX2G8gpl1qmSmkwBxO0FSaRVhsTyI+rM3CcoNryGePk24JQrMZ9q+1GTiQ7p2vsAcRV1TqBqV4l05bplvKSLxxNOb3qt7TSFzPfodGMlBDiCoZuYbTe0A+t4jhMeYw/W+q3j2UaxikwhjcTFpJHgCeQbQBt7356AEx6TNhc4auwqMiscVGMlqwv3YQGEckUn6LGmEjtw0jBoCPzgs9YCVpEpHXIGS7JQx8DNFfK7gDlBXQlY6sZyYUzne3lIXEhvgDeO/0He6zrt1aq+Ed3iCwBwn8agfY1My+S2iHXcIo01cRtE7PzAQavkliiJSA5UTSY6pzuEOENdIdXVBdkori3Yk/Cp3Dypx//4YSfTcHKdTCfTkAFDVW6ZTqYhA4aq3DKdTEMGDFW5ZTqZhgwYqlK/TvbBgNe24r0XbU0P+/v0ndJGizurm/MdGJkfP/j1SP2dMIUYzbNa3FnJrAzE9LC/ojd3cRDu7GRilsNxwIuxTM6QBnd2MoGrcHO6Tm4zMtY/GHfWBUgGR8s0Pew3Jq1J3WDcWS0T1sjV3Pywv2n0VvVa3FnJxOBCvDQ97LcirUWPCve0ReFEZugr2tDC+qY5nnuQxow75of9XUC2hbuLTC4ah13gW+Sc4Y1fd2CgYdbjc+sWNcNE6GMruHO7+Qw0xKSFA7cxb5VUuHOTSZMqz87F/ZIP+4fZqbr1YNy5ycxy2K+mp/+DKtytMbN/340tzyAxP+xv7M1OoMKdlUxZCEKMtBtqZk1a3LndPPOwx6XeyTScDyfTyTRkwFCVW6YhmWE1n8mGulQtK1p574VnBmKuICm+XQTL5A9Tq39G9z/vP3NXV+Ivjf/h6wmGgzX0p95i5gAAAABJRU5ErkJggg==",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a & b\\\\- b & - b\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a   b ⎤\n",
       "⎢      ⎥\n",
       "⎣-b  -b⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R.set(x3=0,y3=-1)\n",
    "x3=0\n",
    "y3=-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "74ac3c79-1d46-4920-b007-5a77514d7191",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "x1,x2,x3,x4=1,0,0,0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "0e569b20-4c95-456e-b11f-0de939d0cb0e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "y1,y2,y3,y4=0,1,-1,-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "4b57847a-b24e-4aa2-a21d-1fa242fdcce0",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAADUAAAAzCAYAAAA3v0BtAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAC50lEQVRoBe1a7U0kMQwFRAHo6GCvAz4qADq4vQ6AEvi5+w9xHRxUgJYOuA4QdAAdAFsC7y1jEWZtTyYDcwaNpSgZTxK/FzvZjLWrk8lkY0WR6XQ6V9ShVMCoYl8DyluU51o5C4XeBjOr4SaP2So8dY/GMVj/s8d+jTfgcASkY3rq28l6LiOswhb60t3baPe232BLtsIjbP9EOYPuAbUpLikM5ka8QHlC2UEZofQmsM/9for6ikYrPLeoD1BMYm74YeAcZYxyjDkvOXFfApvcHxuoF4RoF21GCJ//8tkSl5Q1qCf9GHbuFFs30O2DoHqcs39kUvvAx7Cvi4Qd36sSkpTnhYTFj6T9rhmSFBAKYO+U/ZLh9271lYdNRbdQRfWUtpeEg3iRv1uqhCRVHd0ErIWY6OTAWCIWklSFknfR0RLit/1m3lUjk+KVjLeYumxDcZd4s/6+1e+UbEyJ6aXJPlIB0OeY7wn1L5kXbYbeb5RD0Wm1e/fjAEzEFaPIj90MOsbzNWoa/kyhV3iB3UXNg4H1Hp61mwZevUoOKV5X/osA/ByGee9sJZH3VCsiaeeBVLoakduDpyJ7J8U2eCpdjcjtwVORvZNi+5aearwmcQVwXWmdUExXrku7xHajpzApE4o3qE9Q/qB9gsLL7KgL2JyxpbZdUpi0OKGYA9rr08W2SwpGixOKHuDMd8W2m0jxG0pLgkh+QL6xMnG26lZs2yQF90uCw0PyKV/BXW2bpMBEAPNDzZIc4tZYT9/JtkfKMyrvJG8hz33Wpm2PlLaXBLSspJlQlI6FdSfbJinEtYSdFmKikwOjELs+rKttk1RlrjihqMNtpS223USqOKHYCr7eudi2SwphUJxQ1HHma7vYzrnQFiUU8+G7PYtsN5KqNm3rhKILNfNlqW03/DJth+s2kArnEgPQ4CljYcKp5fQb4aSRq88CZHXyhAOcAqpjxrsFBwk//tcn/SOjJFrSOSK2eetYwv0CT+H0fMNA80kAAAAASUVORK5CYII=",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1 & 0\\\\0 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1  0⎤\n",
       "⎢    ⎥\n",
       "⎣0  0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0 & 1\\\\-1 & -1\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡0   1 ⎤\n",
       "⎢      ⎥\n",
       "⎣-1  -1⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X=MyMat(x1,x2,x3,x4,2,2)\n",
    "Y=MyMat(y1,y2,y3,y4,2,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "d6b86bfb-553d-4f3e-9f3e-3dbfa864ebad",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}a & b\\\\- b & - b\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡a   b ⎤\n",
       "⎢      ⎥\n",
       "⎣-b  -b⎦"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a*X()+b*Y()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "9f066572-81c4-48f5-836d-9fdaf2e6e611",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0 & -1\\\\1 & 0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡0  -1⎤\n",
       "⎢     ⎥\n",
       "⎣1  0 ⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R1=MyMat(X+Y.pow(2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "e296ea6b-f7b3-4fab-8570-e5c91cad34e0",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOCAYAAAAWo42rAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVQoFXWS4Q2CMBCFhQkIbqAjqBvgBsoGOkf/GUbQFXQENjAyAhtA2AC/V3tGG2hyeXdfH71LSzKO48KWc64KeYeuiQrWiiVmBLyoL+hDG2iGiO3J2zTAM5qZKbAB1UdX1d6IHolGIFpP6kKnm7EA9JFJpZ8PLdIwy4TnD+U6MQ9IM82tb+s5g/GlTpyazQzWrdOM1lL3Fi9jn3tktyZWsYvaTqzteu7A7YRxA2vU1RtJboAePZiZXG1L4iT2+9ba0E8xEPopdoTe3r/YGx/SQ0OZAIYmAAAAAElFTkSuQmCC",
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R1.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8ff6e9f4-9ee5-40da-b75f-3d219d43665b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}