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

$$$\left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]\cdot \left[\begin{array}{cc}\frac{1}{3} & - \frac{2}{3}\\- \frac{1}{3} & \frac{5}{3}\end{array}\right]$$$

La calculadora multiplicará la matriz $$$2$$$ x $$$2$$$ $$$\left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]$$$ por la matriz $$$2$$$ x $$$2$$$ $$$\left[\begin{array}{cc}\frac{1}{3} & - \frac{2}{3}\\- \frac{1}{3} & \frac{5}{3}\end{array}\right]$$$, 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 $$$\left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]\cdot \left[\begin{array}{cc}\frac{1}{3} & - \frac{2}{3}\\- \frac{1}{3} & \frac{5}{3}\end{array}\right].$$$

Solución

$$$\left[\begin{array}{cc}{\color{SaddleBrown}5 e} & {\color{DarkBlue}\frac{2}{e^{2}}}\\{\color{Violet}e} & {\color{Blue}e^{-2}}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Violet}\frac{1}{3}} & {\color{Purple}- \frac{2}{3}}\\{\color{BlueViolet}- \frac{1}{3}} & {\color{Blue}\frac{5}{3}}\end{array}\right] = \left[\begin{array}{cc}{\color{SaddleBrown}\left(5 e\right)}\cdot {\color{Violet}\left(\frac{1}{3}\right)} + {\color{DarkBlue}\left(\frac{2}{e^{2}}\right)}\cdot {\color{BlueViolet}\left(- \frac{1}{3}\right)} & {\color{SaddleBrown}\left(5 e\right)}\cdot {\color{Purple}\left(- \frac{2}{3}\right)} + {\color{DarkBlue}\left(\frac{2}{e^{2}}\right)}\cdot {\color{Blue}\left(\frac{5}{3}\right)}\\{\color{Violet}\left(e\right)}\cdot {\color{Violet}\left(\frac{1}{3}\right)} + {\color{Blue}\left(e^{-2}\right)}\cdot {\color{BlueViolet}\left(- \frac{1}{3}\right)} & {\color{Violet}\left(e\right)}\cdot {\color{Purple}\left(- \frac{2}{3}\right)} + {\color{Blue}\left(e^{-2}\right)}\cdot {\color{Blue}\left(\frac{5}{3}\right)}\end{array}\right] = \left[\begin{array}{cc}\frac{-2 + 5 e^{3}}{3 e^{2}} & \frac{10 - 10 e^{3}}{3 e^{2}}\\\frac{-1 + e^{3}}{3 e^{2}} & \frac{5 - 2 e^{3}}{3 e^{2}}\end{array}\right]$$$

Respuesta

$$$\left[\begin{array}{cc}5 e & \frac{2}{e^{2}}\\e & e^{-2}\end{array}\right]\cdot \left[\begin{array}{cc}\frac{1}{3} & - \frac{2}{3}\\- \frac{1}{3} & \frac{5}{3}\end{array}\right] = \left[\begin{array}{cc}\frac{-2 + 5 e^{3}}{3 e^{2}} & \frac{10 - 10 e^{3}}{3 e^{2}}\\\frac{-1 + e^{3}}{3 e^{2}} & \frac{5 - 2 e^{3}}{3 e^{2}}\end{array}\right]\approx \left[\begin{array}{cc}4.440246191940667 & -8.609821817408108\\0.860982181740811 & -1.586629080245009\end{array}\right]$$$A