From 2050dbb66bad025e51b5ba1779b39d013a0adb69 Mon Sep 17 00:00:00 2001 From: Corey Leveen Date: Thu, 4 Jun 2020 12:01:21 -0400 Subject: [PATCH] Fix spelling "explicitely" => "explicitly" --- math_linear_algebra.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/math_linear_algebra.ipynb b/math_linear_algebra.ipynb index 13558445a..106cf2e84 100644 --- a/math_linear_algebra.ipynb +++ b/math_linear_algebra.ipynb @@ -1188,7 +1188,7 @@ "metadata": {}, "source": [ "## Element indexing\n", - "The number located in the $i^{th}$ row, and $j^{th}$ column of a matrix $X$ is sometimes noted $X_{i,j}$ or $X_{ij}$, but there is no standard notation, so people often prefer to explicitely name the elements, like this: \"*let $X = (x_{i,j})_{1 ≤ i ≤ m, 1 ≤ j ≤ n}$*\". This means that $X$ is equal to:\n", + "The number located in the $i^{th}$ row, and $j^{th}$ column of a matrix $X$ is sometimes noted $X_{i,j}$ or $X_{ij}$, but there is no standard notation, so people often prefer to explicitly name the elements, like this: \"*let $X = (x_{i,j})_{1 ≤ i ≤ m, 1 ≤ j ≤ n}$*\". This means that $X$ is equal to:\n", "\n", "$X = \\begin{bmatrix}\n", " x_{1,1} & x_{1,2} & x_{1,3} & \\cdots & x_{1,n}\\\\\n", @@ -1225,7 +1225,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The $i^{th}$ row vector is sometimes noted $M_i$ or $M_{i,*}$, but again there is no standard notation so people often prefer to explicitely define their own names, for example: \"*let **x**$_{i}$ be the $i^{th}$ row vector of matrix $X$*\". We will use the $M_{i,*}$, for the same reason as above. For example, to access $A_{2,*}$ (ie. $A$'s 2nd row vector):" + "The $i^{th}$ row vector is sometimes noted $M_i$ or $M_{i,*}$, but again there is no standard notation so people often prefer to explicitly define their own names, for example: \"*let **x**$_{i}$ be the $i^{th}$ row vector of matrix $X$*\". We will use the $M_{i,*}$, for the same reason as above. For example, to access $A_{2,*}$ (ie. $A$'s 2nd row vector):" ] }, {