Matrixmultiplikationsrechner
Matrizen Schritt für Schritt multiplizieren
Der Rechner berechnet (falls möglich) das Produkt zweier Matrizen und zeigt die Schritte an. Er multipliziert Matrizen beliebiger Größe bis zu 10x10 (2x2, 3x3, 4x4 usw.).
Verwandter Rechner: Matrizenrechner
Ihre Eingabe
Berechne $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right].$$$
Lösung
$$$\left[\begin{array}{ccc}{\color{Red}4} & {\color{Chocolate}5} & {\color{Fuchsia}7}\\{\color{DarkBlue}2} & {\color{SaddleBrown}1} & {\color{Green}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Magenta}2} & {\color{OrangeRed}3}\\{\color{Blue}8} & {\color{DarkBlue}9}\\{\color{DeepPink}1} & {\color{Green}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Red}\left(4\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{Chocolate}\left(5\right)}\cdot {\color{Blue}\left(8\right)} + {\color{Fuchsia}\left(7\right)}\cdot {\color{DeepPink}\left(1\right)} & {\color{Red}\left(4\right)}\cdot {\color{OrangeRed}\left(3\right)} + {\color{Chocolate}\left(5\right)}\cdot {\color{DarkBlue}\left(9\right)} + {\color{Fuchsia}\left(7\right)}\cdot {\color{Green}\left(1\right)}\\{\color{DarkBlue}\left(2\right)}\cdot {\color{Magenta}\left(2\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{Blue}\left(8\right)} + {\color{Green}\left(0\right)}\cdot {\color{DeepPink}\left(1\right)} & {\color{DarkBlue}\left(2\right)}\cdot {\color{OrangeRed}\left(3\right)} + {\color{SaddleBrown}\left(1\right)}\cdot {\color{DarkBlue}\left(9\right)} + {\color{Green}\left(0\right)}\cdot {\color{Green}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Antwort
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A