$$$\frac{\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]}{4}$$$

该计算器会将 $$$1$$$x$$$2$$$ 矩阵 $$$\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]$$$ 乘以标量 $$$\frac{1}{4}$$$,并显示计算步骤。
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A

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您的输入

计算 $$$\frac{\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]}{4}$$$

解答

将矩阵的每个元素与该标量相乘:

$$${\color{Green}\left(\frac{1}{4}\right)}\cdot \left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right] = \left[\begin{array}{cc}{\color{Green}\left(\frac{1}{4}\right)}\cdot \left(2 \sqrt{2}\right) & {\color{Green}\left(\frac{1}{4}\right)}\cdot \left(2 \sqrt{2}\right)\end{array}\right] = \left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]$$$

答案

$$$\frac{\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]}{4} = \left[\begin{array}{cc}\frac{\sqrt{2}}{2} & \frac{\sqrt{2}}{2}\end{array}\right]\approx \left[\begin{array}{cc}0.707106781186548 & 0.707106781186548\end{array}\right]$$$A


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