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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{Chartreuse}0} & {\color{DeepPink}1} & {\color{Magenta}1}\\{\color{GoldenRod}\sqrt{2}} & {\color{DarkMagenta}2} & {\color{Green}0}\\{\color{Brown}0} & {\color{Peru}1} & {\color{SaddleBrown}1}\end{array}\right]\cdot \left[\begin{array}{ccc}{\color{Red}0} & {\color{Brown}\sqrt{2}} & {\color{SaddleBrown}0}\\{\color{OrangeRed}1} & {\color{DarkBlue}2} & {\color{Green}1}\\{\color{Magenta}1} & {\color{Purple}0} & {\color{Blue}1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Chartreuse}\left(0\right)}\cdot {\color{Red}\left(0\right)} + {\color{DeepPink}\left(1\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{Magenta}\left(1\right)}\cdot {\color{Magenta}\left(1\right)} & {\color{Chartreuse}\left(0\right)}\cdot {\color{Brown}\left(\sqrt{2}\right)} + {\color{DeepPink}\left(1\right)}\cdot {\color{DarkBlue}\left(2\right)} + {\color{Magenta}\left(1\right)}\cdot {\color{Purple}\left(0\right)} & {\color{Chartreuse}\left(0\right)}\cdot {\color{SaddleBrown}\left(0\right)} + {\color{DeepPink}\left(1\right)}\cdot {\color{Green}\left(1\right)} + {\color{Magenta}\left(1\right)}\cdot {\color{Blue}\left(1\right)}\\{\color{GoldenRod}\left(\sqrt{2}\right)}\cdot {\color{Red}\left(0\right)} + {\color{DarkMagenta}\left(2\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{Green}\left(0\right)}\cdot {\color{Magenta}\left(1\right)} & {\color{GoldenRod}\left(\sqrt{2}\right)}\cdot {\color{Brown}\left(\sqrt{2}\right)} + {\color{DarkMagenta}\left(2\right)}\cdot {\color{DarkBlue}\left(2\right)} + {\color{Green}\left(0\right)}\cdot {\color{Purple}\left(0\right)} & {\color{GoldenRod}\left(\sqrt{2}\right)}\cdot {\color{SaddleBrown}\left(0\right)} + {\color{DarkMagenta}\left(2\right)}\cdot {\color{Green}\left(1\right)} + {\color{Green}\left(0\right)}\cdot {\color{Blue}\left(1\right)}\\{\color{Brown}\left(0\right)}\cdot {\color{Red}\left(0\right)} + {\color{Peru}\left(1\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Magenta}\left(1\right)} & {\color{Brown}\left(0\right)}\cdot {\color{Brown}\left(\sqrt{2}\right)} + {\color{Peru}\left(1\right)}\cdot {\color{DarkBlue}\left(2\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Purple}\left(0\right)} & {\color{Brown}\left(0\right)}\cdot {\color{SaddleBrown}\left(0\right)} + {\color{Peru}\left(1\right)}\cdot {\color{Green}\left(1\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Blue}\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