行列積計算機
行列の積を段階的に計算
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
$$$\left[\begin{array}{ccc}{\color{BlueViolet}4} & {\color{GoldenRod}5} & {\color{OrangeRed}7}\\{\color{DeepPink}2} & {\color{Chocolate}1} & {\color{Brown}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Crimson}2} & {\color{Violet}3}\\{\color{DeepPink}8} & {\color{DarkMagenta}9}\\{\color{Red}1} & {\color{Brown}1}\end{array}\right] = \left[\begin{array}{cc}{\color{BlueViolet}\left(4\right)}\cdot {\color{Crimson}\left(2\right)} + {\color{GoldenRod}\left(5\right)}\cdot {\color{DeepPink}\left(8\right)} + {\color{OrangeRed}\left(7\right)}\cdot {\color{Red}\left(1\right)} & {\color{BlueViolet}\left(4\right)}\cdot {\color{Violet}\left(3\right)} + {\color{GoldenRod}\left(5\right)}\cdot {\color{DarkMagenta}\left(9\right)} + {\color{OrangeRed}\left(7\right)}\cdot {\color{Brown}\left(1\right)}\\{\color{DeepPink}\left(2\right)}\cdot {\color{Crimson}\left(2\right)} + {\color{Chocolate}\left(1\right)}\cdot {\color{DeepPink}\left(8\right)} + {\color{Brown}\left(0\right)}\cdot {\color{Red}\left(1\right)} & {\color{DeepPink}\left(2\right)}\cdot {\color{Violet}\left(3\right)} + {\color{Chocolate}\left(1\right)}\cdot {\color{DarkMagenta}\left(9\right)} + {\color{Brown}\left(0\right)}\cdot {\color{Brown}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
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