[2222]4\frac{\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]}{4}

The calculator will multiply the 11x22 matrix [2222]\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right] by the scalar 14\frac{1}{4}, with steps shown.
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Your Input

Calculate [2222]4\frac{\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]}{4}.

Solution

Multiply each entry of the matrix by the scalar:

(14)[2222]=[(14)(22)(14)(22)]=[2222]{\color{Crimson}\left(\frac{1}{4}\right)}\cdot \left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right] = \left[\begin{array}{cc}{\color{Crimson}\left(\frac{1}{4}\right)}\cdot \left(2 \sqrt{2}\right) & {\color{Crimson}\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]

Answer

[2222]4=[2222][0.7071067811865480.707106781186548]\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