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矩陣加法計算器

逐步計算矩陣加法

該計算器將求出兩個矩陣的和（若可能），並顯示步驟。它可對大小最多為 10x10 的任意矩陣進行相加（2x2、3x3、4x4 等）。

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

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 $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right]$$$。

解答

$$$\left[\begin{array}{ccc}{\color{Red}4} & {\color{Purple}5} & {\color{Chartreuse}7}\\{\color{OrangeRed}2} & {\color{Brown}1} & {\color{DarkCyan}0}\\{\color{Green}-1} & {\color{DeepPink}-2} & {\color{Violet}1}\end{array}\right] + \left[\begin{array}{ccc}{\color{Red}2} & {\color{Purple}3} & {\color{Chartreuse}0}\\{\color{OrangeRed}8} & {\color{Brown}9} & {\color{DarkCyan}5}\\{\color{Green}1} & {\color{DeepPink}1} & {\color{Violet}7}\end{array}\right] = \left[\begin{array}{ccc}{\color{Red}\left(4\right)} + {\color{Red}\left(2\right)} & {\color{Purple}\left(5\right)} + {\color{Purple}\left(3\right)} & {\color{Chartreuse}\left(7\right)} + {\color{Chartreuse}\left(0\right)}\\{\color{OrangeRed}\left(2\right)} + {\color{OrangeRed}\left(8\right)} & {\color{Brown}\left(1\right)} + {\color{Brown}\left(9\right)} & {\color{DarkCyan}\left(0\right)} + {\color{DarkCyan}\left(5\right)}\\{\color{Green}\left(-1\right)} + {\color{Green}\left(1\right)} & {\color{DeepPink}\left(-2\right)} + {\color{DeepPink}\left(1\right)} & {\color{Violet}\left(1\right)} + {\color{Violet}\left(7\right)}\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$

答案

$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$A