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

該計算器將把 $$$1$$$x$$$2$$$ 矩陣 $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$ 與 $$$2$$$x$$$1$$$ 矩陣 $$$\left[\begin{array}{c}\frac{\sqrt{2}}{2}\\\frac{\sqrt{2}}{2}\end{array}\right]$$$ 相乘，並顯示計算步驟。

相關計算器: 矩陣計算器

第一個矩陣的尺寸:

$$$\times$$$

矩陣:

第二個矩陣的尺寸:

$$$\times$$$

矩陣:

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您的輸入

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

解答

$$$\left[\begin{array}{cc}{\color{Peru}\frac{\sqrt{2}}{2}} & {\color{Crimson}\frac{\sqrt{2}}{2}}\end{array}\right]\cdot \left[\begin{array}{c}{\color{DarkBlue}\frac{\sqrt{2}}{2}}\\{\color{Fuchsia}\frac{\sqrt{2}}{2}}\end{array}\right] = \left[\begin{array}{c}{\color{Peru}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{DarkBlue}\left(\frac{\sqrt{2}}{2}\right)} + {\color{Crimson}\left(\frac{\sqrt{2}}{2}\right)}\cdot {\color{Fuchsia}\left(\frac{\sqrt{2}}{2}\right)}\end{array}\right] = \left[\begin{array}{c}1\end{array}\right]$$$

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