Calcolatrice per il prodotto di matrici
Moltiplica matrici passo dopo passo
La calcolatrice troverà il prodotto di due matrici (se possibile), mostrando i passaggi. Moltiplica matrici di qualsiasi dimensione fino a 10x10 (2x2, 3x3, 4x4, ecc.).
Calcolatore correlato: Calcolatrice di matrici
Il tuo input
Calcola $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right].$$$
Soluzione
$$$\left[\begin{array}{ccc}{\color{SaddleBrown}4} & {\color{DarkBlue}5} & {\color{DarkCyan}7}\\{\color{DeepPink}2} & {\color{Green}1} & {\color{Violet}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{OrangeRed}2} & {\color{Magenta}3}\\{\color{Green}8} & {\color{DeepPink}9}\\{\color{Fuchsia}1} & {\color{BlueViolet}1}\end{array}\right] = \left[\begin{array}{cc}{\color{SaddleBrown}\left(4\right)}\cdot {\color{OrangeRed}\left(2\right)} + {\color{DarkBlue}\left(5\right)}\cdot {\color{Green}\left(8\right)} + {\color{DarkCyan}\left(7\right)}\cdot {\color{Fuchsia}\left(1\right)} & {\color{SaddleBrown}\left(4\right)}\cdot {\color{Magenta}\left(3\right)} + {\color{DarkBlue}\left(5\right)}\cdot {\color{DeepPink}\left(9\right)} + {\color{DarkCyan}\left(7\right)}\cdot {\color{BlueViolet}\left(1\right)}\\{\color{DeepPink}\left(2\right)}\cdot {\color{OrangeRed}\left(2\right)} + {\color{Green}\left(1\right)}\cdot {\color{Green}\left(8\right)} + {\color{Violet}\left(0\right)}\cdot {\color{Fuchsia}\left(1\right)} & {\color{DeepPink}\left(2\right)}\cdot {\color{Magenta}\left(3\right)} + {\color{Green}\left(1\right)}\cdot {\color{DeepPink}\left(9\right)} + {\color{Violet}\left(0\right)}\cdot {\color{BlueViolet}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Risposta
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A