Beispiel Nr: 05
$ \text{Gegeben:} \\ \begin{array}{cc} \text{Matrix A} & \text{Matrix B} \\ \left[ \begin{array}{cccc} a_{11} & a_{12} & \ldots & a_{1n}\\ a_{21} & a_{22} & \ldots & a_{2n}\\ \vdots & \vdots &\vdots & \vdots \\ a_{m1} & a_{m2} & \ldots & a_{mn}\\ \end{array} \right] & \left[ \begin{array}{cccc} b_{11} & b_{12} & \ldots & b_{1n}\\ b_{21} & b_{22} & \ldots & b_{2n}\\ \vdots & \vdots &\vdots & \vdots \\ b_{m1} & b_{m2} & \ldots & b_{mn}\\ \end{array} \right] \end{array} $
$\textbf{Aufgabe:}$ Mutliplizieren
$\textbf{Rechnung:}\\ \small \left[ \begin{array}{cc} 5 & 6 \\ 7 & 8 \\ \end{array} \right] \cdot \small \left[ \begin{array}{cc} -3 & 6 \\ 5 & 4 \\ \end{array} \right] = \\ \small \left[ \begin{array}{cc} (5\cdot-3) + (6\cdot5) & (5\cdot6) + (6\cdot4) \\ (7\cdot-3) + (8\cdot5) & (7\cdot6) + (8\cdot4) \\ \end{array} \right] = \\ \small \left[ \begin{array}{cc} 15 & 54 \\ 19 & 74 \\ \end{array} \right] $