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

A calculadora multiplicará a matriz $$$2$$$ x $$$2$$$ $$$\left[\begin{array}{cc}5 & 2\\1 & 1\end{array}\right]$$$ pela matriz $$$2$$$ x $$$2$$$ $$$\left[\begin{array}{cc}e & 0\\0 & e^{-2}\end{array}\right]$$$, com as etapas mostradas.

Calculadora relacionada: Calculadora matricial

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Sua entrada

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

Solução

$$$\left[\begin{array}{cc}{\color{DarkCyan}5} & {\color{DarkBlue}2}\\{\color{Purple}1} & {\color{SaddleBrown}1}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Purple}e} & {\color{SaddleBrown}0}\\{\color{Red}0} & {\color{Green}e^{-2}}\end{array}\right] = \left[\begin{array}{cc}{\color{DarkCyan}\left(5\right)}\cdot {\color{Purple}\left(e\right)} + {\color{DarkBlue}\left(2\right)}\cdot {\color{Red}\left(0\right)} & {\color{DarkCyan}\left(5\right)}\cdot {\color{SaddleBrown}\left(0\right)} + {\color{DarkBlue}\left(2\right)}\cdot {\color{Green}\left(e^{-2}\right)}\\{\color{Purple}\left(1\right)}\cdot {\color{Purple}\left(e\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Red}\left(0\right)} & {\color{Purple}\left(1\right)}\cdot {\color{SaddleBrown}\left(0\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Green}\left(e^{-2}\right)}\end{array}\right] = \left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]$$$

Responder

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