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

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

$$$\left[\begin{array}{ccc}{\color{Red}3} & {\color{Violet}2} & {\color{Peru}2}\\{\color{Magenta}2} & {\color{Chocolate}3} & {\color{Chartreuse}-2}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{GoldenRod}3} & {\color{Crimson}2}\\{\color{Brown}2} & {\color{Green}3}\\{\color{BlueViolet}2} & {\color{DarkMagenta}-2}\end{array}\right] = \left[\begin{array}{cc}{\color{Red}\left(3\right)}\cdot {\color{GoldenRod}\left(3\right)} + {\color{Violet}\left(2\right)}\cdot {\color{Brown}\left(2\right)} + {\color{Peru}\left(2\right)}\cdot {\color{BlueViolet}\left(2\right)} & {\color{Red}\left(3\right)}\cdot {\color{Crimson}\left(2\right)} + {\color{Violet}\left(2\right)}\cdot {\color{Green}\left(3\right)} + {\color{Peru}\left(2\right)}\cdot {\color{DarkMagenta}\left(-2\right)}\\{\color{Magenta}\left(2\right)}\cdot {\color{GoldenRod}\left(3\right)} + {\color{Chocolate}\left(3\right)}\cdot {\color{Brown}\left(2\right)} + {\color{Chartreuse}\left(-2\right)}\cdot {\color{BlueViolet}\left(2\right)} & {\color{Magenta}\left(2\right)}\cdot {\color{Crimson}\left(2\right)} + {\color{Chocolate}\left(3\right)}\cdot {\color{Green}\left(3\right)} + {\color{Chartreuse}\left(-2\right)}\cdot {\color{DarkMagenta}\left(-2\right)}\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$

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