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

La calculadora multiplicará la matriz $$$\left[\begin{array}{ccc}0 & 1 & 1\\\sqrt{2} & 2 & 0\\0 & 1 & 1\end{array}\right]$$$ de $$$3$$$x$$$3$$$ por la matriz $$$\left[\begin{array}{ccc}0 & \sqrt{2} & 0\\1 & 2 & 1\\1 & 0 & 1\end{array}\right]$$$ de $$$3$$$x$$$3$$$, mostrando los pasos.

Calculadora relacionada: Calculadora de matrices

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Tu entrada

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

Solución

$$$\left[\begin{array}{ccc}{\color{Chocolate}0} & {\color{Peru}1} & {\color{Fuchsia}1}\\{\color{Red}\sqrt{2}} & {\color{Blue}2} & {\color{DarkMagenta}0}\\{\color{OrangeRed}0} & {\color{DarkCyan}1} & {\color{Crimson}1}\end{array}\right]\cdot \left[\begin{array}{ccc}{\color{GoldenRod}0} & {\color{DarkBlue}\sqrt{2}} & {\color{Chartreuse}0}\\{\color{DeepPink}1} & {\color{Magenta}2} & {\color{OrangeRed}1}\\{\color{Green}1} & {\color{Crimson}0} & {\color{Red}1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Chocolate}\left(0\right)}\cdot {\color{GoldenRod}\left(0\right)} + {\color{Peru}\left(1\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{Fuchsia}\left(1\right)}\cdot {\color{Green}\left(1\right)} & {\color{Chocolate}\left(0\right)}\cdot {\color{DarkBlue}\left(\sqrt{2}\right)} + {\color{Peru}\left(1\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{Fuchsia}\left(1\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Chocolate}\left(0\right)}\cdot {\color{Chartreuse}\left(0\right)} + {\color{Peru}\left(1\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{Fuchsia}\left(1\right)}\cdot {\color{Red}\left(1\right)}\\{\color{Red}\left(\sqrt{2}\right)}\cdot {\color{GoldenRod}\left(0\right)} + {\color{Blue}\left(2\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{DarkMagenta}\left(0\right)}\cdot {\color{Green}\left(1\right)} & {\color{Red}\left(\sqrt{2}\right)}\cdot {\color{DarkBlue}\left(\sqrt{2}\right)} + {\color{Blue}\left(2\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{DarkMagenta}\left(0\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Red}\left(\sqrt{2}\right)}\cdot {\color{Chartreuse}\left(0\right)} + {\color{Blue}\left(2\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{DarkMagenta}\left(0\right)}\cdot {\color{Red}\left(1\right)}\\{\color{OrangeRed}\left(0\right)}\cdot {\color{GoldenRod}\left(0\right)} + {\color{DarkCyan}\left(1\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{Crimson}\left(1\right)}\cdot {\color{Green}\left(1\right)} & {\color{OrangeRed}\left(0\right)}\cdot {\color{DarkBlue}\left(\sqrt{2}\right)} + {\color{DarkCyan}\left(1\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{Crimson}\left(1\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{OrangeRed}\left(0\right)}\cdot {\color{Chartreuse}\left(0\right)} + {\color{DarkCyan}\left(1\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{Crimson}\left(1\right)}\cdot {\color{Red}\left(1\right)}\end{array}\right] = \left[\begin{array}{ccc}2 & 2 & 2\\2 & 6 & 2\\2 & 2 & 2\end{array}\right]$$$

Respuesta

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