Calculadora de Multiplicação de Matrizes
Multiplicar matrizes passo a passo
A calculadora encontrará o produto de duas matrizes (se possível), com as etapas mostradas. Ela multiplica matrizes de qualquer tamanho até 10x10 (2x2, 3x3, 4x4 etc.).
Calculadora relacionada: Calculadora de Matrizes
Sua entrada
Calcule $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right].$$$
Solução
$$$\left[\begin{array}{ccc}{\color{Chocolate}4} & {\color{Blue}5} & {\color{Green}7}\\{\color{BlueViolet}2} & {\color{SaddleBrown}1} & {\color{Purple}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Purple}2} & {\color{Chocolate}3}\\{\color{Chartreuse}8} & {\color{Violet}9}\\{\color{DarkMagenta}1} & {\color{Fuchsia}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Chocolate}\left(4\right)}\cdot {\color{Purple}\left(2\right)} + {\color{Blue}\left(5\right)}\cdot {\color{Chartreuse}\left(8\right)} + {\color{Green}\left(7\right)}\cdot {\color{DarkMagenta}\left(1\right)} & {\color{Chocolate}\left(4\right)}\cdot {\color{Chocolate}\left(3\right)} + {\color{Blue}\left(5\right)}\cdot {\color{Violet}\left(9\right)} + {\color{Green}\left(7\right)}\cdot {\color{Fuchsia}\left(1\right)}\\{\color{BlueViolet}\left(2\right)}\cdot {\color{Purple}\left(2\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Chartreuse}\left(8\right)} + {\color{Purple}\left(0\right)}\cdot {\color{DarkMagenta}\left(1\right)} & {\color{BlueViolet}\left(2\right)}\cdot {\color{Chocolate}\left(3\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Violet}\left(9\right)} + {\color{Purple}\left(0\right)}\cdot {\color{Fuchsia}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Resposta
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A