$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$
Calculadora relacionada: Calculadora matricial
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
$$$\left[\begin{array}{ccc}{\color{OrangeRed}3} & {\color{Red}2} & {\color{Violet}2}\\{\color{DarkBlue}2} & {\color{Magenta}3} & {\color{Chocolate}-2}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Peru}3} & {\color{Crimson}2}\\{\color{Fuchsia}2} & {\color{Red}3}\\{\color{GoldenRod}2} & {\color{Brown}-2}\end{array}\right] = \left[\begin{array}{cc}{\color{OrangeRed}\left(3\right)}\cdot {\color{Peru}\left(3\right)} + {\color{Red}\left(2\right)}\cdot {\color{Fuchsia}\left(2\right)} + {\color{Violet}\left(2\right)}\cdot {\color{GoldenRod}\left(2\right)} & {\color{OrangeRed}\left(3\right)}\cdot {\color{Crimson}\left(2\right)} + {\color{Red}\left(2\right)}\cdot {\color{Red}\left(3\right)} + {\color{Violet}\left(2\right)}\cdot {\color{Brown}\left(-2\right)}\\{\color{DarkBlue}\left(2\right)}\cdot {\color{Peru}\left(3\right)} + {\color{Magenta}\left(3\right)}\cdot {\color{Fuchsia}\left(2\right)} + {\color{Chocolate}\left(-2\right)}\cdot {\color{GoldenRod}\left(2\right)} & {\color{DarkBlue}\left(2\right)}\cdot {\color{Crimson}\left(2\right)} + {\color{Magenta}\left(3\right)}\cdot {\color{Red}\left(3\right)} + {\color{Chocolate}\left(-2\right)}\cdot {\color{Brown}\left(-2\right)}\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$
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