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

La calculadora multiplicará la matriz $$$\left[\begin{array}{cc}5 & 2\\1 & 1\end{array}\right]$$$ de $$$2$$$x$$$2$$$ por la matriz $$$\left[\begin{array}{cc}e & 0\\0 & e^{-2}\end{array}\right]$$$ de $$$2$$$x$$$2$$$, mostrando los pasos.

Calculadora relacionada: Calculadora de matrices

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Tu entrada

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

Solución

$$$\left[\begin{array}{cc}{\color{Crimson}5} & {\color{DarkCyan}2}\\{\color{BlueViolet}1} & {\color{DarkMagenta}1}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Fuchsia}e} & {\color{DarkCyan}0}\\{\color{DarkMagenta}0} & {\color{GoldenRod}e^{-2}}\end{array}\right] = \left[\begin{array}{cc}{\color{Crimson}\left(5\right)}\cdot {\color{Fuchsia}\left(e\right)} + {\color{DarkCyan}\left(2\right)}\cdot {\color{DarkMagenta}\left(0\right)} & {\color{Crimson}\left(5\right)}\cdot {\color{DarkCyan}\left(0\right)} + {\color{DarkCyan}\left(2\right)}\cdot {\color{GoldenRod}\left(e^{-2}\right)}\\{\color{BlueViolet}\left(1\right)}\cdot {\color{Fuchsia}\left(e\right)} + {\color{DarkMagenta}\left(1\right)}\cdot {\color{DarkMagenta}\left(0\right)} & {\color{BlueViolet}\left(1\right)}\cdot {\color{DarkCyan}\left(0\right)} + {\color{DarkMagenta}\left(1\right)}\cdot {\color{GoldenRod}\left(e^{-2}\right)}\end{array}\right] = \left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]$$$

Respuesta

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