$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$
Calculadora relacionada: Calculadora de matrices
Tu aportación
Calcular $$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right].$$$
Solución
$$$\left[\begin{array}{ccc}{\color{Brown}3} & {\color{Violet}2} & {\color{Chocolate}2}\\{\color{DeepPink}2} & {\color{Red}3} & {\color{Fuchsia}-2}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Peru}3} & {\color{DarkCyan}2}\\{\color{Violet}2} & {\color{Brown}3}\\{\color{SaddleBrown}2} & {\color{Chartreuse}-2}\end{array}\right] = \left[\begin{array}{cc}{\color{Brown}\left(3\right)}\cdot {\color{Peru}\left(3\right)} + {\color{Violet}\left(2\right)}\cdot {\color{Violet}\left(2\right)} + {\color{Chocolate}\left(2\right)}\cdot {\color{SaddleBrown}\left(2\right)} & {\color{Brown}\left(3\right)}\cdot {\color{DarkCyan}\left(2\right)} + {\color{Violet}\left(2\right)}\cdot {\color{Brown}\left(3\right)} + {\color{Chocolate}\left(2\right)}\cdot {\color{Chartreuse}\left(-2\right)}\\{\color{DeepPink}\left(2\right)}\cdot {\color{Peru}\left(3\right)} + {\color{Red}\left(3\right)}\cdot {\color{Violet}\left(2\right)} + {\color{Fuchsia}\left(-2\right)}\cdot {\color{SaddleBrown}\left(2\right)} & {\color{DeepPink}\left(2\right)}\cdot {\color{DarkCyan}\left(2\right)} + {\color{Red}\left(3\right)}\cdot {\color{Brown}\left(3\right)} + {\color{Fuchsia}\left(-2\right)}\cdot {\color{Chartreuse}\left(-2\right)}\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$
Respuesta
$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$A