$$$\left[\begin{array}{ccc}0 & 1 & 1\\\sqrt{2} & 2 & 0\\0 & 1 & 1\end{array}\right]\cdot \left[\begin{array}{ccc}0 & \sqrt{2} & 0\\1 & 2 & 1\\1 & 0 & 1\end{array}\right]$$$

The calculator will multiply the $$$3$$$x$$$3$$$ matrix $$$\left[\begin{array}{ccc}0 & 1 & 1\\\sqrt{2} & 2 & 0\\0 & 1 & 1\end{array}\right]$$$ by the $$$3$$$x$$$3$$$ matrix $$$\left[\begin{array}{ccc}0 & \sqrt{2} & 0\\1 & 2 & 1\\1 & 0 & 1\end{array}\right]$$$, with steps shown.

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Your Input

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

Solution

$$$\left[\begin{array}{ccc}{\color{DarkMagenta}0} & {\color{DarkBlue}1} & {\color{Fuchsia}1}\\{\color{Peru}\sqrt{2}} & {\color{Violet}2} & {\color{OrangeRed}0}\\{\color{Green}0} & {\color{Chartreuse}1} & {\color{DeepPink}1}\end{array}\right]\cdot \left[\begin{array}{ccc}{\color{Peru}0} & {\color{SaddleBrown}\sqrt{2}} & {\color{Blue}0}\\{\color{Purple}1} & {\color{BlueViolet}2} & {\color{DeepPink}1}\\{\color{Green}1} & {\color{Crimson}0} & {\color{DarkMagenta}1}\end{array}\right] = \left[\begin{array}{ccc}{\color{DarkMagenta}\left(0\right)}\cdot {\color{Peru}\left(0\right)} + {\color{DarkBlue}\left(1\right)}\cdot {\color{Purple}\left(1\right)} + {\color{Fuchsia}\left(1\right)}\cdot {\color{Green}\left(1\right)} & {\color{DarkMagenta}\left(0\right)}\cdot {\color{SaddleBrown}\left(\sqrt{2}\right)} + {\color{DarkBlue}\left(1\right)}\cdot {\color{BlueViolet}\left(2\right)} + {\color{Fuchsia}\left(1\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{DarkMagenta}\left(0\right)}\cdot {\color{Blue}\left(0\right)} + {\color{DarkBlue}\left(1\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{Fuchsia}\left(1\right)}\cdot {\color{DarkMagenta}\left(1\right)}\\{\color{Peru}\left(\sqrt{2}\right)}\cdot {\color{Peru}\left(0\right)} + {\color{Violet}\left(2\right)}\cdot {\color{Purple}\left(1\right)} + {\color{OrangeRed}\left(0\right)}\cdot {\color{Green}\left(1\right)} & {\color{Peru}\left(\sqrt{2}\right)}\cdot {\color{SaddleBrown}\left(\sqrt{2}\right)} + {\color{Violet}\left(2\right)}\cdot {\color{BlueViolet}\left(2\right)} + {\color{OrangeRed}\left(0\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Peru}\left(\sqrt{2}\right)}\cdot {\color{Blue}\left(0\right)} + {\color{Violet}\left(2\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{OrangeRed}\left(0\right)}\cdot {\color{DarkMagenta}\left(1\right)}\\{\color{Green}\left(0\right)}\cdot {\color{Peru}\left(0\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{Purple}\left(1\right)} + {\color{DeepPink}\left(1\right)}\cdot {\color{Green}\left(1\right)} & {\color{Green}\left(0\right)}\cdot {\color{SaddleBrown}\left(\sqrt{2}\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{BlueViolet}\left(2\right)} + {\color{DeepPink}\left(1\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Green}\left(0\right)}\cdot {\color{Blue}\left(0\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{DeepPink}\left(1\right)}\cdot {\color{DarkMagenta}\left(1\right)}\end{array}\right] = \left[\begin{array}{ccc}2 & 2 & 2\\2 & 6 & 2\\2 & 2 & 2\end{array}\right]$$$

Answer

$$$\left[\begin{array}{ccc}0 & 1 & 1\\\sqrt{2} & 2 & 0\\0 & 1 & 1\end{array}\right]\cdot \left[\begin{array}{ccc}0 & \sqrt{2} & 0\\1 & 2 & 1\\1 & 0 & 1\end{array}\right] = \left[\begin{array}{ccc}2 & 2 & 2\\2 & 6 & 2\\2 & 2 & 2\end{array}\right]$$$A