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

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

$$$\left[\begin{array}{cc}{\color{Red}5} & {\color{Crimson}2}\\{\color{DarkMagenta}1} & {\color{DeepPink}1}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Chocolate}e} & {\color{DeepPink}0}\\{\color{Magenta}0} & {\color{OrangeRed}e^{-2}}\end{array}\right] = \left[\begin{array}{cc}{\color{Red}\left(5\right)}\cdot {\color{Chocolate}\left(e\right)} + {\color{Crimson}\left(2\right)}\cdot {\color{Magenta}\left(0\right)} & {\color{Red}\left(5\right)}\cdot {\color{DeepPink}\left(0\right)} + {\color{Crimson}\left(2\right)}\cdot {\color{OrangeRed}\left(e^{-2}\right)}\\{\color{DarkMagenta}\left(1\right)}\cdot {\color{Chocolate}\left(e\right)} + {\color{DeepPink}\left(1\right)}\cdot {\color{Magenta}\left(0\right)} & {\color{DarkMagenta}\left(1\right)}\cdot {\color{DeepPink}\left(0\right)} + {\color{DeepPink}\left(1\right)}\cdot {\color{OrangeRed}\left(e^{-2}\right)}\end{array}\right] = \left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]$$$

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