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$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$
相关计算器: 矩阵计算器
您的输入
计算 $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$。
解答
$$$\left[\begin{array}{cc}{\color{GoldenRod}\frac{\sqrt{2}}{2}} & {\color{DarkBlue}\frac{\sqrt{2}}{2}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{DarkBlue}\frac{\sqrt{2}}{2}}\\{\color{Chartreuse}\frac{\sqrt{2}}{2}}\end{array}\right] = \left[\begin{array}{c}{\color{GoldenRod}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{DarkBlue}\left(\frac{\sqrt{2}}{2}\right)} + {\color{DarkBlue}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Chartreuse}\left(\frac{\sqrt{2}}{2}\right)}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$
答案
$$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\cdot \left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$A