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

该计算器将把$$$2$$$x$$$1$$$矩阵$$$\left[\begin{array}{c}2 \sqrt{2}\\2 \sqrt{2}\end{array}\right]$$$与$$$1$$$x$$$2$$$矩阵$$$\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]$$$相乘，并显示计算步骤。

您的输入

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

解答

$$$\left[\begin{array}{c}{\color{Brown}2 \sqrt{2}}\\{\color{Chocolate}2 \sqrt{2}}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{OrangeRed}2 \sqrt{2}} & {\color{SaddleBrown}2 \sqrt{2}}\end{array}\right] = \left[\begin{array}{cc}{\color{Brown}\left(2 \sqrt{2}\right)}\cdot {\color{OrangeRed}\left(2 \sqrt{2}\right)} & {\color{Brown}\left(2 \sqrt{2}\right)}\cdot {\color{SaddleBrown}\left(2 \sqrt{2}\right)}\\{\color{Chocolate}\left(2 \sqrt{2}\right)}\cdot {\color{OrangeRed}\left(2 \sqrt{2}\right)} & {\color{Chocolate}\left(2 \sqrt{2}\right)}\cdot {\color{SaddleBrown}\left(2 \sqrt{2}\right)}\end{array}\right] = \left[\begin{array}{cc}8 & 8\\8 & 8\end{array}\right]$$$

答案

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