Calculadora de multiplicação de matrizes
Multiplique matrizes passo a passo
A calculadora encontrará o produto de duas matrizes (se possível), com as etapas mostradas. Multiplica matrizes de qualquer tamanho até 10x10 (2x2, 3x3, 4x4 etc.).
Calculadora relacionada: Calculadora matricial
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
$$$\left[\begin{array}{ccc}{\color{Blue}4} & {\color{Peru}5} & {\color{BlueViolet}7}\\{\color{Chocolate}2} & {\color{OrangeRed}1} & {\color{Purple}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Chartreuse}2} & {\color{Crimson}3}\\{\color{Peru}8} & {\color{Brown}9}\\{\color{Fuchsia}1} & {\color{DarkCyan}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Blue}\left(4\right)}\cdot {\color{Chartreuse}\left(2\right)} + {\color{Peru}\left(5\right)}\cdot {\color{Peru}\left(8\right)} + {\color{BlueViolet}\left(7\right)}\cdot {\color{Fuchsia}\left(1\right)} & {\color{Blue}\left(4\right)}\cdot {\color{Crimson}\left(3\right)} + {\color{Peru}\left(5\right)}\cdot {\color{Brown}\left(9\right)} + {\color{BlueViolet}\left(7\right)}\cdot {\color{DarkCyan}\left(1\right)}\\{\color{Chocolate}\left(2\right)}\cdot {\color{Chartreuse}\left(2\right)} + {\color{OrangeRed}\left(1\right)}\cdot {\color{Peru}\left(8\right)} + {\color{Purple}\left(0\right)}\cdot {\color{Fuchsia}\left(1\right)} & {\color{Chocolate}\left(2\right)}\cdot {\color{Crimson}\left(3\right)} + {\color{OrangeRed}\left(1\right)}\cdot {\color{Brown}\left(9\right)} + {\color{Purple}\left(0\right)}\cdot {\color{DarkCyan}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Responder
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A