$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$
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
$$$\left[\begin{array}{ccc}{\color{SaddleBrown}3} & {\color{Red}2} & {\color{Crimson}2}\\{\color{Violet}2} & {\color{Fuchsia}3} & {\color{Green}-2}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Green}3} & {\color{SaddleBrown}2}\\{\color{Blue}2} & {\color{BlueViolet}3}\\{\color{DarkMagenta}2} & {\color{Red}-2}\end{array}\right] = \left[\begin{array}{cc}{\color{SaddleBrown}\left(3\right)}\cdot {\color{Green}\left(3\right)} + {\color{Red}\left(2\right)}\cdot {\color{Blue}\left(2\right)} + {\color{Crimson}\left(2\right)}\cdot {\color{DarkMagenta}\left(2\right)} & {\color{SaddleBrown}\left(3\right)}\cdot {\color{SaddleBrown}\left(2\right)} + {\color{Red}\left(2\right)}\cdot {\color{BlueViolet}\left(3\right)} + {\color{Crimson}\left(2\right)}\cdot {\color{Red}\left(-2\right)}\\{\color{Violet}\left(2\right)}\cdot {\color{Green}\left(3\right)} + {\color{Fuchsia}\left(3\right)}\cdot {\color{Blue}\left(2\right)} + {\color{Green}\left(-2\right)}\cdot {\color{DarkMagenta}\left(2\right)} & {\color{Violet}\left(2\right)}\cdot {\color{SaddleBrown}\left(2\right)} + {\color{Fuchsia}\left(3\right)}\cdot {\color{BlueViolet}\left(3\right)} + {\color{Green}\left(-2\right)}\cdot {\color{Red}\left(-2\right)}\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$
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