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

A calculadora multiplicará a matriz $$$3$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right]$$$ pela matriz $$$3$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}1 & 3 & 4\\-1 & -8 & 5\\0 & 6 & -7\end{array}\right]$$$, com as etapas mostradas.

Calculadora relacionada: Calculadora matricial

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Sua entrada

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

Solução

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

Responder

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