English | Português
  1. Hogar
  2. Calculadoras
  3. Calculadoras: Álgebra lineal
  4. Calculadora de álgebra lineal

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

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

Calculadora relacionada: Calculadora de matrices

$$$\times$$$
$$$\times$$$

Si la calculadora no calculó algo o ha identificado un error, o tiene una sugerencia/comentario, escríbalo en los comentarios a continuación.

Tu aportación

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

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

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