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$$$\left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right]\cdot \left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right]$$$

La calculadora multiplicará la matriz $$$3$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right]$$$ por la matriz $$$3$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right]$$$, 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 $$$\left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right]\cdot \left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right].$$$

Solución

$$$\left[\begin{array}{ccc}{\color{Brown}1} & {\color{SaddleBrown}3} & {\color{Green}4}\\{\color{Purple}-1} & {\color{Magenta}-8} & {\color{Blue}5}\\{\color{Peru}0} & {\color{DarkCyan}6} & {\color{BlueViolet}-7}\end{array}\right]\cdot \left[\begin{array}{ccc}{\color{OrangeRed}1} & {\color{Chartreuse}3} & {\color{SaddleBrown}4}\\{\color{Peru}-1} & {\color{DarkCyan}-8} & {\color{Fuchsia}5}\\{\color{Crimson}0} & {\color{Red}6} & {\color{BlueViolet}-7}\end{array}\right] = \left[\begin{array}{ccc}{\color{Brown}\left(1\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{SaddleBrown}\left(3\right)}\cdot {\color{Peru}\left(-1\right)} + {\color{Green}\left(4\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Brown}\left(1\right)}\cdot {\color{Chartreuse}\left(3\right)} + {\color{SaddleBrown}\left(3\right)}\cdot {\color{DarkCyan}\left(-8\right)} + {\color{Green}\left(4\right)}\cdot {\color{Red}\left(6\right)} & {\color{Brown}\left(1\right)}\cdot {\color{SaddleBrown}\left(4\right)} + {\color{SaddleBrown}\left(3\right)}\cdot {\color{Fuchsia}\left(5\right)} + {\color{Green}\left(4\right)}\cdot {\color{BlueViolet}\left(-7\right)}\\{\color{Purple}\left(-1\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{Magenta}\left(-8\right)}\cdot {\color{Peru}\left(-1\right)} + {\color{Blue}\left(5\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Purple}\left(-1\right)}\cdot {\color{Chartreuse}\left(3\right)} + {\color{Magenta}\left(-8\right)}\cdot {\color{DarkCyan}\left(-8\right)} + {\color{Blue}\left(5\right)}\cdot {\color{Red}\left(6\right)} & {\color{Purple}\left(-1\right)}\cdot {\color{SaddleBrown}\left(4\right)} + {\color{Magenta}\left(-8\right)}\cdot {\color{Fuchsia}\left(5\right)} + {\color{Blue}\left(5\right)}\cdot {\color{BlueViolet}\left(-7\right)}\\{\color{Peru}\left(0\right)}\cdot {\color{OrangeRed}\left(1\right)} + {\color{DarkCyan}\left(6\right)}\cdot {\color{Peru}\left(-1\right)} + {\color{BlueViolet}\left(-7\right)}\cdot {\color{Crimson}\left(0\right)} & {\color{Peru}\left(0\right)}\cdot {\color{Chartreuse}\left(3\right)} + {\color{DarkCyan}\left(6\right)}\cdot {\color{DarkCyan}\left(-8\right)} + {\color{BlueViolet}\left(-7\right)}\cdot {\color{Red}\left(6\right)} & {\color{Peru}\left(0\right)}\cdot {\color{SaddleBrown}\left(4\right)} + {\color{DarkCyan}\left(6\right)}\cdot {\color{Fuchsia}\left(5\right)} + {\color{BlueViolet}\left(-7\right)}\cdot {\color{BlueViolet}\left(-7\right)}\end{array}\right] = \left[\begin{array}{ccc}-2 & 3 & -9\\7 & 91 & -79\\-6 & -90 & 79\end{array}\right]$$$

Respuesta

$$$\left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right]\cdot \left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right] = \left[\begin{array}{ccc}-2 & 3 & -9\\7 & 91 & -79\\-6 & -90 & 79\end{array}\right]$$$A