[2222][2222]\left[\begin{array}{c}2 \sqrt{2}\\2 \sqrt{2}\end{array}\right]\cdot \left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right]

The calculator will multiply the 22x11 matrix [2222]\left[\begin{array}{c}2 \sqrt{2}\\2 \sqrt{2}\end{array}\right] by the 11x22 matrix [2222]\left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right], with steps shown.

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Your Input

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

Solution

[2222][2222]=[(22)(22)(22)(22)(22)(22)(22)(22)]=[8888]\left[\begin{array}{c}{\color{OrangeRed}2 \sqrt{2}}\\{\color{Magenta}2 \sqrt{2}}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{SaddleBrown}2 \sqrt{2}} & {\color{BlueViolet}2 \sqrt{2}}\end{array}\right] = \left[\begin{array}{cc}{\color{OrangeRed}\left(2 \sqrt{2}\right)}\cdot {\color{SaddleBrown}\left(2 \sqrt{2}\right)} & {\color{OrangeRed}\left(2 \sqrt{2}\right)}\cdot {\color{BlueViolet}\left(2 \sqrt{2}\right)}\\{\color{Magenta}\left(2 \sqrt{2}\right)}\cdot {\color{SaddleBrown}\left(2 \sqrt{2}\right)} & {\color{Magenta}\left(2 \sqrt{2}\right)}\cdot {\color{BlueViolet}\left(2 \sqrt{2}\right)}\end{array}\right] = \left[\begin{array}{cc}8 & 8\\8 & 8\end{array}\right]

Answer

[2222][2222]=[8888]\left[\begin{array}{c}2 \sqrt{2}\\2 \sqrt{2}\end{array}\right]\cdot \left[\begin{array}{cc}2 \sqrt{2} & 2 \sqrt{2}\end{array}\right] = \left[\begin{array}{cc}8 & 8\\8 & 8\end{array}\right]A