$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$

A calculadora multiplicará a matriz $$$2$$$ x $$$3$$$ $$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]$$$ pela matriz $$$3$$$ x $$$2$$$ $$$\left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$, com as etapas mostradas.

Calculadora relacionada: Calculadora matricial

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Sua entrada

Calcule $$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right].$$$

Solução

$$$\left[\begin{array}{ccc}{\color{OrangeRed}3} & {\color{DarkBlue}2} & {\color{Magenta}2}\\{\color{Chartreuse}2} & {\color{Violet}3} & {\color{DarkMagenta}-2}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{DarkMagenta}3} & {\color{OrangeRed}2}\\{\color{Magenta}2} & {\color{Red}3}\\{\color{Chartreuse}2} & {\color{DeepPink}-2}\end{array}\right] = \left[\begin{array}{cc}{\color{OrangeRed}\left(3\right)}\cdot {\color{DarkMagenta}\left(3\right)} + {\color{DarkBlue}\left(2\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{Magenta}\left(2\right)}\cdot {\color{Chartreuse}\left(2\right)} & {\color{OrangeRed}\left(3\right)}\cdot {\color{OrangeRed}\left(2\right)} + {\color{DarkBlue}\left(2\right)}\cdot {\color{Red}\left(3\right)} + {\color{Magenta}\left(2\right)}\cdot {\color{DeepPink}\left(-2\right)}\\{\color{Chartreuse}\left(2\right)}\cdot {\color{DarkMagenta}\left(3\right)} + {\color{Violet}\left(3\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{DarkMagenta}\left(-2\right)}\cdot {\color{Chartreuse}\left(2\right)} & {\color{Chartreuse}\left(2\right)}\cdot {\color{OrangeRed}\left(2\right)} + {\color{Violet}\left(3\right)}\cdot {\color{Red}\left(3\right)} + {\color{DarkMagenta}\left(-2\right)}\cdot {\color{DeepPink}\left(-2\right)}\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$

Responder

$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$A