行列積計算機
行列の積を段階的に計算
この計算機は、（可能な場合）2つの行列の積を手順付きで求めます。10x10 までの任意のサイズ（2x2、3x3、4x4 など）の行列を掛け合わせることができます。
関連する計算機: 行列計算機
入力内容
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right]$$$を計算せよ。
解答
$$$\left[\begin{array}{ccc}{\color{Green}4} & {\color{Red}5} & {\color{Chocolate}7}\\{\color{OrangeRed}2} & {\color{Chartreuse}1} & {\color{Peru}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Peru}2} & {\color{Purple}3}\\{\color{Green}8} & {\color{BlueViolet}9}\\{\color{DarkMagenta}1} & {\color{Crimson}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Green}\left(4\right)}\cdot {\color{Peru}\left(2\right)} + {\color{Red}\left(5\right)}\cdot {\color{Green}\left(8\right)} + {\color{Chocolate}\left(7\right)}\cdot {\color{DarkMagenta}\left(1\right)} & {\color{Green}\left(4\right)}\cdot {\color{Purple}\left(3\right)} + {\color{Red}\left(5\right)}\cdot {\color{BlueViolet}\left(9\right)} + {\color{Chocolate}\left(7\right)}\cdot {\color{Crimson}\left(1\right)}\\{\color{OrangeRed}\left(2\right)}\cdot {\color{Peru}\left(2\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{Green}\left(8\right)} + {\color{Peru}\left(0\right)}\cdot {\color{DarkMagenta}\left(1\right)} & {\color{OrangeRed}\left(2\right)}\cdot {\color{Purple}\left(3\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{BlueViolet}\left(9\right)} + {\color{Peru}\left(0\right)}\cdot {\color{Crimson}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
解答
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A