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矩陣減法計算器

逐步進行矩陣相減

該計算器將求出兩個矩陣的差（若可行），並顯示步驟。它可對大小不超過 10x10 的任意矩陣進行相減（2x2、3x3、4x4 等等）。

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如果計算器未能計算某些內容，或您發現了錯誤，或您有任何建議／回饋，請聯絡我們。

您的輸入

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

解答

$$$\left[\begin{array}{ccc}{\color{Purple}1} & {\color{Crimson}2} & {\color{OrangeRed}-3}\\{\color{Peru}2} & {\color{Green}-3} & {\color{Violet}-5}\\{\color{Fuchsia}1} & {\color{Chartreuse}7} & {\color{Brown}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{Purple}2} & {\color{Crimson}-3} & {\color{OrangeRed}0}\\{\color{Peru}1} & {\color{Green}1} & {\color{Violet}5}\\{\color{Fuchsia}1} & {\color{Chartreuse}0} & {\color{Brown}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Purple}\left(1\right)} - {\color{Purple}\left(2\right)} & {\color{Crimson}\left(2\right)} - {\color{Crimson}\left(-3\right)} & {\color{OrangeRed}\left(-3\right)} - {\color{OrangeRed}\left(0\right)}\\{\color{Peru}\left(2\right)} - {\color{Peru}\left(1\right)} & {\color{Green}\left(-3\right)} - {\color{Green}\left(1\right)} & {\color{Violet}\left(-5\right)} - {\color{Violet}\left(5\right)}\\{\color{Fuchsia}\left(1\right)} - {\color{Fuchsia}\left(1\right)} & {\color{Chartreuse}\left(7\right)} - {\color{Chartreuse}\left(0\right)} & {\color{Brown}\left(1\right)} - {\color{Brown}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$

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