1*[[sqrt(2)/2,0],[sqrt(2)/2,0]]

The calculator will multiply the $$$2$$$x$$$2$$$ matrix $$$\left[\begin{array}{cc}\frac{\sqrt{2}}{2} & 0\\\frac{\sqrt{2}}{2} & 0\end{array}\right]$$$ by the scalar $$$1$$$, with steps shown.

Size of the matrix:

$$$\times$$$

Matrix:

A

Scalar:

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Your Input

Calculate $$$1 \left[\begin{array}{cc}\frac{\sqrt{2}}{2} & 0\\\frac{\sqrt{2}}{2} & 0\end{array}\right]$$$.

Solution

Multiply each entry of the matrix by the scalar:

$$${\color{Green}\left(1\right)}\cdot \left[\begin{array}{cc}\frac{\sqrt{2}}{2} & 0\\\frac{\sqrt{2}}{2} & 0\end{array}\right] = \left[\begin{array}{cc}{\color{Green}\left(1\right)}\cdot \left(\frac{\sqrt{2}}{2}\right) & {\color{Green}\left(1\right)}\cdot \left(0\right)\\{\color{Green}\left(1\right)}\cdot \left(\frac{\sqrt{2}}{2}\right) & {\color{Green}\left(1\right)}\cdot \left(0\right)\end{array}\right] = \left[\begin{array}{cc}\frac{\sqrt{2}}{2} & 0\\\frac{\sqrt{2}}{2} & 0\end{array}\right]$$$

Answer

$$$1 \left[\begin{array}{cc}\frac{\sqrt{2}}{2} & 0\\\frac{\sqrt{2}}{2} & 0\end{array}\right] = \left[\begin{array}{cc}\frac{\sqrt{2}}{2} & 0\\\frac{\sqrt{2}}{2} & 0\end{array}\right]\approx \left[\begin{array}{cc}0.707106781186548 & 0\\0.707106781186548 & 0\end{array}\right]$$$A

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