Kalkylator för matrismultiplikation
Multiplicera matriser steg för steg
Kalkylatorn hittar produkten av två matriser (om möjligt) och visar stegen. Den multiplicerar matriser av valfri storlek upp till 10x10 (2x2, 3x3, 4x4 osv.).
Relaterad kalkylator: Matriskalkylator
Din inmatning
Beräkna $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right].$$$
Lösning
$$$\left[\begin{array}{ccc}{\color{Brown}4} & {\color{BlueViolet}5} & {\color{Magenta}7}\\{\color{DarkCyan}2} & {\color{SaddleBrown}1} & {\color{Crimson}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{DarkCyan}2} & {\color{Chartreuse}3}\\{\color{Magenta}8} & {\color{OrangeRed}9}\\{\color{SaddleBrown}1} & {\color{GoldenRod}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Brown}\left(4\right)}\cdot {\color{DarkCyan}\left(2\right)} + {\color{BlueViolet}\left(5\right)}\cdot {\color{Magenta}\left(8\right)} + {\color{Magenta}\left(7\right)}\cdot {\color{SaddleBrown}\left(1\right)} & {\color{Brown}\left(4\right)}\cdot {\color{Chartreuse}\left(3\right)} + {\color{BlueViolet}\left(5\right)}\cdot {\color{OrangeRed}\left(9\right)} + {\color{Magenta}\left(7\right)}\cdot {\color{GoldenRod}\left(1\right)}\\{\color{DarkCyan}\left(2\right)}\cdot {\color{DarkCyan}\left(2\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Magenta}\left(8\right)} + {\color{Crimson}\left(0\right)}\cdot {\color{SaddleBrown}\left(1\right)} & {\color{DarkCyan}\left(2\right)}\cdot {\color{Chartreuse}\left(3\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{OrangeRed}\left(9\right)} + {\color{Crimson}\left(0\right)}\cdot {\color{GoldenRod}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Svar
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A