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

계산기는 $$$2$$$x$$$3$$$ 행렬 $$$\left[\begin{array}{ccc}3 & 2 & 2\\2 & 3 & -2\end{array}\right]$$$$$$3$$$x$$$2$$$ 행렬 $$$\left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$를 곱하며, 단계별 풀이를 보여 줍니다.

관련 계산기: 행렬 계산기

$$$\times$$$
A
$$$\times$$$
A

계산기가 예상대로 작동하지 않았거나 오류를 신고하거나 피드백을 공유하고 싶으시다면 문의해 주세요.

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