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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 $$$3$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}0 & 1 & 1\\\sqrt{2} & 2 & 0\\0 & 1 & 1\end{array}\right]$$$ por la matriz $$$3$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}0 & \sqrt{2} & 0\\1 & 2 & 1\\1 & 0 & 1\end{array}\right]$$$, y se muestran los pasos.

Calculadora relacionada: Calculadora de matrices

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Si la calculadora no calculó algo o ha identificado un error, o tiene una sugerencia/comentario, escríbalo en los comentarios a continuación.

Tu aportación

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{Purple}0} & {\color{Peru}1} & {\color{BlueViolet}1}\\{\color{Violet}\sqrt{2}} & {\color{SaddleBrown}2} & {\color{Chocolate}0}\\{\color{DeepPink}0} & {\color{Brown}1} & {\color{Red}1}\end{array}\right]\cdot \left[\begin{array}{ccc}{\color{Peru}0} & {\color{Red}\sqrt{2}} & {\color{Green}0}\\{\color{DeepPink}1} & {\color{DarkMagenta}2} & {\color{SaddleBrown}1}\\{\color{Brown}1} & {\color{Crimson}0} & {\color{DarkBlue}1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Purple}\left(0\right)}\cdot {\color{Peru}\left(0\right)} + {\color{Peru}\left(1\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{BlueViolet}\left(1\right)}\cdot {\color{Brown}\left(1\right)} & {\color{Purple}\left(0\right)}\cdot {\color{Red}\left(\sqrt{2}\right)} + {\color{Peru}\left(1\right)}\cdot {\color{DarkMagenta}\left(2\right)} + {\color{BlueViolet}\left(1\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Purple}\left(0\right)}\cdot {\color{Green}\left(0\right)} + {\color{Peru}\left(1\right)}\cdot {\color{SaddleBrown}\left(1\right)} + {\color{BlueViolet}\left(1\right)}\cdot {\color{DarkBlue}\left(1\right)}\\{\color{Violet}\left(\sqrt{2}\right)}\cdot {\color{Peru}\left(0\right)} + {\color{SaddleBrown}\left(2\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{Chocolate}\left(0\right)}\cdot {\color{Brown}\left(1\right)} & {\color{Violet}\left(\sqrt{2}\right)}\cdot {\color{Red}\left(\sqrt{2}\right)} + {\color{SaddleBrown}\left(2\right)}\cdot {\color{DarkMagenta}\left(2\right)} + {\color{Chocolate}\left(0\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Violet}\left(\sqrt{2}\right)}\cdot {\color{Green}\left(0\right)} + {\color{SaddleBrown}\left(2\right)}\cdot {\color{SaddleBrown}\left(1\right)} + {\color{Chocolate}\left(0\right)}\cdot {\color{DarkBlue}\left(1\right)}\\{\color{DeepPink}\left(0\right)}\cdot {\color{Peru}\left(0\right)} + {\color{Brown}\left(1\right)}\cdot {\color{DeepPink}\left(1\right)} + {\color{Red}\left(1\right)}\cdot {\color{Brown}\left(1\right)} & {\color{DeepPink}\left(0\right)}\cdot {\color{Red}\left(\sqrt{2}\right)} + {\color{Brown}\left(1\right)}\cdot {\color{DarkMagenta}\left(2\right)} + {\color{Red}\left(1\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{DeepPink}\left(0\right)}\cdot {\color{Green}\left(0\right)} + {\color{Brown}\left(1\right)}\cdot {\color{SaddleBrown}\left(1\right)} + {\color{Red}\left(1\right)}\cdot {\color{DarkBlue}\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