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
$$$\left[\begin{array}{ccc}{\color{Chartreuse}4} & {\color{BlueViolet}5} & {\color{Crimson}7}\\{\color{Red}2} & {\color{Chocolate}1} & {\color{Fuchsia}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Chartreuse}2} & {\color{Peru}3}\\{\color{Red}8} & {\color{Violet}9}\\{\color{SaddleBrown}1} & {\color{Fuchsia}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Chartreuse}\left(4\right)}\cdot {\color{Chartreuse}\left(2\right)} + {\color{BlueViolet}\left(5\right)}\cdot {\color{Red}\left(8\right)} + {\color{Crimson}\left(7\right)}\cdot {\color{SaddleBrown}\left(1\right)} & {\color{Chartreuse}\left(4\right)}\cdot {\color{Peru}\left(3\right)} + {\color{BlueViolet}\left(5\right)}\cdot {\color{Violet}\left(9\right)} + {\color{Crimson}\left(7\right)}\cdot {\color{Fuchsia}\left(1\right)}\\{\color{Red}\left(2\right)}\cdot {\color{Chartreuse}\left(2\right)} + {\color{Chocolate}\left(1\right)}\cdot {\color{Red}\left(8\right)} + {\color{Fuchsia}\left(0\right)}\cdot {\color{SaddleBrown}\left(1\right)} & {\color{Red}\left(2\right)}\cdot {\color{Peru}\left(3\right)} + {\color{Chocolate}\left(1\right)}\cdot {\color{Violet}\left(9\right)} + {\color{Fuchsia}\left(0\right)}\cdot {\color{Fuchsia}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
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