行列加法計算機
行列を段階的に加算
この計算機は (可能であれば) 2つの行列の和を、解法手順を表示しながら求めます。10x10 (2x2, 3x3, 4x4 など) までの任意のサイズの行列を加算できます。
入力内容
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right]$$$を計算せよ。
解答
$$$\left[\begin{array}{ccc}{\color{Chocolate}4} & {\color{Violet}5} & {\color{OrangeRed}7}\\{\color{DarkBlue}2} & {\color{DeepPink}1} & {\color{Purple}0}\\{\color{SaddleBrown}-1} & {\color{DarkCyan}-2} & {\color{Brown}1}\end{array}\right] + \left[\begin{array}{ccc}{\color{Chocolate}2} & {\color{Violet}3} & {\color{OrangeRed}0}\\{\color{DarkBlue}8} & {\color{DeepPink}9} & {\color{Purple}5}\\{\color{SaddleBrown}1} & {\color{DarkCyan}1} & {\color{Brown}7}\end{array}\right] = \left[\begin{array}{ccc}{\color{Chocolate}\left(4\right)} + {\color{Chocolate}\left(2\right)} & {\color{Violet}\left(5\right)} + {\color{Violet}\left(3\right)} & {\color{OrangeRed}\left(7\right)} + {\color{OrangeRed}\left(0\right)}\\{\color{DarkBlue}\left(2\right)} + {\color{DarkBlue}\left(8\right)} & {\color{DeepPink}\left(1\right)} + {\color{DeepPink}\left(9\right)} & {\color{Purple}\left(0\right)} + {\color{Purple}\left(5\right)}\\{\color{SaddleBrown}\left(-1\right)} + {\color{SaddleBrown}\left(1\right)} & {\color{DarkCyan}\left(-2\right)} + {\color{DarkCyan}\left(1\right)} & {\color{Brown}\left(1\right)} + {\color{Brown}\left(7\right)}\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$
解答
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$A