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