Calculadora de multiplicación de matrices
Multiplicar matrices paso a paso
La calculadora encontrará el producto de dos matrices (si es posible), mostrando los pasos. Multiplica matrices de cualquier tamaño hasta 10x10 (2x2, 3x3, 4x4, etc.).
Calculadora relacionada: Calculadora de matrices
Tu entrada
Calcular $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right].$$$
Solución
$$$\left[\begin{array}{ccc}{\color{Fuchsia}4} & {\color{Peru}5} & {\color{Violet}7}\\{\color{DarkBlue}2} & {\color{Brown}1} & {\color{Crimson}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Magenta}2} & {\color{DarkMagenta}3}\\{\color{OrangeRed}8} & {\color{Red}9}\\{\color{SaddleBrown}1} & {\color{Peru}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Fuchsia}\left(4\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{Peru}\left(5\right)}\cdot {\color{OrangeRed}\left(8\right)} + {\color{Violet}\left(7\right)}\cdot {\color{SaddleBrown}\left(1\right)} & {\color{Fuchsia}\left(4\right)}\cdot {\color{DarkMagenta}\left(3\right)} + {\color{Peru}\left(5\right)}\cdot {\color{Red}\left(9\right)} + {\color{Violet}\left(7\right)}\cdot {\color{Peru}\left(1\right)}\\{\color{DarkBlue}\left(2\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{Brown}\left(1\right)}\cdot {\color{OrangeRed}\left(8\right)} + {\color{Crimson}\left(0\right)}\cdot {\color{SaddleBrown}\left(1\right)} & {\color{DarkBlue}\left(2\right)}\cdot {\color{DarkMagenta}\left(3\right)} + {\color{Brown}\left(1\right)}\cdot {\color{Red}\left(9\right)} + {\color{Crimson}\left(0\right)}\cdot {\color{Peru}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Respuesta
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A