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  4. Linear Algebra Calculator

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

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

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Your Input

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

Solution

$$$\left[\begin{array}{c}{\color{Purple}2 \sqrt{2}}\\{\color{GoldenRod}2 \sqrt{2}}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{DarkMagenta}2 \sqrt{2}} & {\color{Chartreuse}2 \sqrt{2}}\end{array}\right] = \left[\begin{array}{cc}{\color{Purple}\left(2 \sqrt{2}\right)}\cdot {\color{DarkMagenta}\left(2 \sqrt{2}\right)} & {\color{Purple}\left(2 \sqrt{2}\right)}\cdot {\color{Chartreuse}\left(2 \sqrt{2}\right)}\\{\color{GoldenRod}\left(2 \sqrt{2}\right)}\cdot {\color{DarkMagenta}\left(2 \sqrt{2}\right)} & {\color{GoldenRod}\left(2 \sqrt{2}\right)}\cdot {\color{Chartreuse}\left(2 \sqrt{2}\right)}\end{array}\right] = \left[\begin{array}{cc}8 & 8\\8 & 8\end{array}\right]$$$

Answer

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


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