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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

$$$\left[\begin{array}{ccc}{\color{Crimson}1} & {\color{DarkBlue}2} & {\color{DarkCyan}-3}\\{\color{Purple}2} & {\color{OrangeRed}-3} & {\color{BlueViolet}-5}\\{\color{Green}1} & {\color{Magenta}7} & {\color{GoldenRod}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{Crimson}2} & {\color{DarkBlue}-3} & {\color{DarkCyan}0}\\{\color{Purple}1} & {\color{OrangeRed}1} & {\color{BlueViolet}5}\\{\color{Green}1} & {\color{Magenta}0} & {\color{GoldenRod}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Crimson}\left(1\right)} - {\color{Crimson}\left(2\right)} & {\color{DarkBlue}\left(2\right)} - {\color{DarkBlue}\left(-3\right)} & {\color{DarkCyan}\left(-3\right)} - {\color{DarkCyan}\left(0\right)}\\{\color{Purple}\left(2\right)} - {\color{Purple}\left(1\right)} & {\color{OrangeRed}\left(-3\right)} - {\color{OrangeRed}\left(1\right)} & {\color{BlueViolet}\left(-5\right)} - {\color{BlueViolet}\left(5\right)}\\{\color{Green}\left(1\right)} - {\color{Green}\left(1\right)} & {\color{Magenta}\left(7\right)} - {\color{Magenta}\left(0\right)} & {\color{GoldenRod}\left(1\right)} - {\color{GoldenRod}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$

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