行列積計算機

$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right]$$$を計算せよ。

$$$\left[\begin{array}{ccc}{\color{SaddleBrown}4} & {\color{Red}5} & {\color{BlueViolet}7}\\{\color{Violet}2} & {\color{DarkBlue}1} & {\color{GoldenRod}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Brown}2} & {\color{Purple}3}\\{\color{OrangeRed}8} & {\color{GoldenRod}9}\\{\color{Chocolate}1} & {\color{SaddleBrown}1}\end{array}\right] = \left[\begin{array}{cc}{\color{SaddleBrown}\left(4\right)}\cdot {\color{Brown}\left(2\right)} + {\color{Red}\left(5\right)}\cdot {\color{OrangeRed}\left(8\right)} + {\color{BlueViolet}\left(7\right)}\cdot {\color{Chocolate}\left(1\right)} & {\color{SaddleBrown}\left(4\right)}\cdot {\color{Purple}\left(3\right)} + {\color{Red}\left(5\right)}\cdot {\color{GoldenRod}\left(9\right)} + {\color{BlueViolet}\left(7\right)}\cdot {\color{SaddleBrown}\left(1\right)}\\{\color{Violet}\left(2\right)}\cdot {\color{Brown}\left(2\right)} + {\color{DarkBlue}\left(1\right)}\cdot {\color{OrangeRed}\left(8\right)} + {\color{GoldenRod}\left(0\right)}\cdot {\color{Chocolate}\left(1\right)} & {\color{Violet}\left(2\right)}\cdot {\color{Purple}\left(3\right)} + {\color{DarkBlue}\left(1\right)}\cdot {\color{GoldenRod}\left(9\right)} + {\color{GoldenRod}\left(0\right)}\cdot {\color{SaddleBrown}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$

$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A