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矩阵减法计算器

逐步进行矩阵减法

该计算器将（如果可能）求出两个矩阵的差，并显示步骤。它可对任意大小、最大至 10x10（2x2、3x3、4x4 等）的矩阵进行相减。

$$$\times$$$
A
$$$\times$$$
A

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您的输入

计算 $$$\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right]$$$。

解答

$$$\left[\begin{array}{ccc}{\color{Peru}1} & {\color{Purple}2} & {\color{DarkMagenta}-3}\\{\color{Chartreuse}2} & {\color{Chocolate}-3} & {\color{SaddleBrown}-5}\\{\color{DarkCyan}1} & {\color{Red}7} & {\color{DarkBlue}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{Peru}2} & {\color{Purple}-3} & {\color{DarkMagenta}0}\\{\color{Chartreuse}1} & {\color{Chocolate}1} & {\color{SaddleBrown}5}\\{\color{DarkCyan}1} & {\color{Red}0} & {\color{DarkBlue}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Peru}\left(1\right)} - {\color{Peru}\left(2\right)} & {\color{Purple}\left(2\right)} - {\color{Purple}\left(-3\right)} & {\color{DarkMagenta}\left(-3\right)} - {\color{DarkMagenta}\left(0\right)}\\{\color{Chartreuse}\left(2\right)} - {\color{Chartreuse}\left(1\right)} & {\color{Chocolate}\left(-3\right)} - {\color{Chocolate}\left(1\right)} & {\color{SaddleBrown}\left(-5\right)} - {\color{SaddleBrown}\left(5\right)}\\{\color{DarkCyan}\left(1\right)} - {\color{DarkCyan}\left(1\right)} & {\color{Red}\left(7\right)} - {\color{Red}\left(0\right)} & {\color{DarkBlue}\left(1\right)} - {\color{DarkBlue}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$

答案

$$$\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$A