$$$\left[\begin{array}{c}2 \sqrt{2}\\2 \sqrt{2}\end{array}\right]\cdot \left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]$$$

この計算機は、$$$2$$$x$$$1$$$ 行列 $$$\left[\begin{array}{c}2 \sqrt{2}\\2 \sqrt{2}\end{array}\right]$$$ に $$$1$$$x$$$2$$$ 行列 $$$\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]$$$ を掛け、手順を示しながら計算します。

入力内容

$$$\left[\begin{array}{c}2 \sqrt{2}\\2 \sqrt{2}\end{array}\right]\cdot \left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]$$$を計算せよ。

解答

$$$\left[\begin{array}{c}{\color{Red}2 \sqrt{2}}\\{\color{GoldenRod}2 \sqrt{2}}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Crimson}2 \sqrt{2}} & {\color{DarkCyan}2 \sqrt{2}}\end{array}\right] = \left[\begin{array}{cc}{\color{Red}\left(2 \sqrt{2}\right)}\cdot {\color{Crimson}\left(2 \sqrt{2}\right)} & {\color{Red}\left(2 \sqrt{2}\right)}\cdot {\color{DarkCyan}\left(2 \sqrt{2}\right)}\\{\color{GoldenRod}\left(2 \sqrt{2}\right)}\cdot {\color{Crimson}\left(2 \sqrt{2}\right)} & {\color{GoldenRod}\left(2 \sqrt{2}\right)}\cdot {\color{DarkCyan}\left(2 \sqrt{2}\right)}\end{array}\right] = \left[\begin{array}{cc}8 & 8\\8 & 8\end{array}\right]$$$

解答

$$$\left[\begin{array}{c}2 \sqrt{2}\\2 \sqrt{2}\end{array}\right]\cdot \left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right] = \left[\begin{array}{cc}8 & 8\\8 & 8\end{array}\right]$$$A