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

A calculadora multiplicará a matriz $$$3$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}0 & 1 & 1\\\sqrt{2} & 2 & 0\\0 & 1 & 1\end{array}\right]$$$ pela matriz $$$3$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}0 & \sqrt{2} & 0\\1 & 2 & 1\\1 & 0 & 1\end{array}\right]$$$, com as etapas mostradas.

Calculadora relacionada: Calculadora matricial

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Sua entrada

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

Solução

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

Responder

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