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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
$$$\left[\begin{array}{ccc}{\color{Fuchsia}4} & {\color{GoldenRod}5} & {\color{Red}7}\\{\color{DarkBlue}2} & {\color{DarkMagenta}1} & {\color{Magenta}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{BlueViolet}2} & {\color{DarkCyan}3}\\{\color{Peru}8} & {\color{DarkBlue}9}\\{\color{DeepPink}1} & {\color{Crimson}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Fuchsia}\left(4\right)}\cdot {\color{BlueViolet}\left(2\right)} + {\color{GoldenRod}\left(5\right)}\cdot {\color{Peru}\left(8\right)} + {\color{Red}\left(7\right)}\cdot {\color{DeepPink}\left(1\right)} & {\color{Fuchsia}\left(4\right)}\cdot {\color{DarkCyan}\left(3\right)} + {\color{GoldenRod}\left(5\right)}\cdot {\color{DarkBlue}\left(9\right)} + {\color{Red}\left(7\right)}\cdot {\color{Crimson}\left(1\right)}\\{\color{DarkBlue}\left(2\right)}\cdot {\color{BlueViolet}\left(2\right)} + {\color{DarkMagenta}\left(1\right)}\cdot {\color{Peru}\left(8\right)} + {\color{Magenta}\left(0\right)}\cdot {\color{DeepPink}\left(1\right)} & {\color{DarkBlue}\left(2\right)}\cdot {\color{DarkCyan}\left(3\right)} + {\color{DarkMagenta}\left(1\right)}\cdot {\color{DarkBlue}\left(9\right)} + {\color{Magenta}\left(0\right)}\cdot {\color{Crimson}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
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