$$$\left[\begin{array}{cc}5 & 2\\1 & 1\end{array}\right]\cdot \left[\begin{array}{cc}e & 0\\0 & e^{-2}\end{array}\right]$$$

계산기는 $$$2$$$x$$$2$$$ 행렬 $$$\left[\begin{array}{cc}5 & 2\\1 & 1\end{array}\right]$$$$$$2$$$x$$$2$$$ 행렬 $$$\left[\begin{array}{cc}e & 0\\0 & e^{-2}\end{array}\right]$$$를 곱하며, 단계별 풀이를 보여 줍니다.

관련 계산기: 행렬 계산기

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A
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A

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

사용자 입력

$$$\left[\begin{array}{cc}5 & 2\\1 & 1\end{array}\right]\cdot \left[\begin{array}{cc}e & 0\\0 & e^{-2}\end{array}\right]$$$을(를) 계산하세요.

풀이

$$$\left[\begin{array}{cc}{\color{Purple}5} & {\color{Red}2}\\{\color{Fuchsia}1} & {\color{Chartreuse}1}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{BlueViolet}e} & {\color{Magenta}0}\\{\color{DeepPink}0} & {\color{DarkBlue}e^{-2}}\end{array}\right] = \left[\begin{array}{cc}{\color{Purple}\left(5\right)}\cdot {\color{BlueViolet}\left(e\right)} + {\color{Red}\left(2\right)}\cdot {\color{DeepPink}\left(0\right)} & {\color{Purple}\left(5\right)}\cdot {\color{Magenta}\left(0\right)} + {\color{Red}\left(2\right)}\cdot {\color{DarkBlue}\left(e^{-2}\right)}\\{\color{Fuchsia}\left(1\right)}\cdot {\color{BlueViolet}\left(e\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{DeepPink}\left(0\right)} & {\color{Fuchsia}\left(1\right)}\cdot {\color{Magenta}\left(0\right)} + {\color{Chartreuse}\left(1\right)}\cdot {\color{DarkBlue}\left(e^{-2}\right)}\end{array}\right] = \left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]$$$

정답

$$$\left[\begin{array}{cc}5 & 2\\1 & 1\end{array}\right]\cdot \left[\begin{array}{cc}e & 0\\0 & e^{-2}\end{array}\right] = \left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]\approx \left[\begin{array}{cc}13.591409142295226 & 0.270670566473225\\2.718281828459045 & 0.135335283236613\end{array}\right]$$$A