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

La calcolatrice moltiplicherà la matrice $$$\left[\begin{array}{cc}5 & 2\\1 & 1\end{array}\right]$$$ di dimensioni $$$2$$$x$$$2$$$ per la matrice $$$\left[\begin{array}{cc}e & 0\\0 & e^{-2}\end{array}\right]$$$ di dimensioni $$$2$$$x$$$2$$$, mostrando i passaggi.

Calcolatore correlato: Calcolatrice di matrici

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Il tuo input

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

Soluzione

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

Risposta

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