$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$
관련 계산기: 행렬 계산기
사용자 입력
$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$을(를) 계산하세요.
풀이
$$$\left[\begin{array}{ccc}{\color{Brown}3} & {\color{Chartreuse}2} & {\color{Magenta}2}\\{\color{Violet}2} & {\color{Peru}3} & {\color{OrangeRed}-2}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Brown}3} & {\color{DarkBlue}2}\\{\color{Peru}2} & {\color{Violet}3}\\{\color{Green}2} & {\color{OrangeRed}-2}\end{array}\right] = \left[\begin{array}{cc}{\color{Brown}\left(3\right)}\cdot {\color{Brown}\left(3\right)} + {\color{Chartreuse}\left(2\right)}\cdot {\color{Peru}\left(2\right)} + {\color{Magenta}\left(2\right)}\cdot {\color{Green}\left(2\right)} & {\color{Brown}\left(3\right)}\cdot {\color{DarkBlue}\left(2\right)} + {\color{Chartreuse}\left(2\right)}\cdot {\color{Violet}\left(3\right)} + {\color{Magenta}\left(2\right)}\cdot {\color{OrangeRed}\left(-2\right)}\\{\color{Violet}\left(2\right)}\cdot {\color{Brown}\left(3\right)} + {\color{Peru}\left(3\right)}\cdot {\color{Peru}\left(2\right)} + {\color{OrangeRed}\left(-2\right)}\cdot {\color{Green}\left(2\right)} & {\color{Violet}\left(2\right)}\cdot {\color{DarkBlue}\left(2\right)} + {\color{Peru}\left(3\right)}\cdot {\color{Violet}\left(3\right)} + {\color{OrangeRed}\left(-2\right)}\cdot {\color{OrangeRed}\left(-2\right)}\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$
정답
$$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]\cdot \left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right] = \left[\begin{array}{cc}17 & 8\\8 & 17\end{array}\right]$$$A