Determinante von $$$\left[\begin{array}{cc}7 & -13\\2 & 1\end{array}\right]$$$

Berechne $$$\left|\begin{array}{cc}7 & -13\\2 & 1\end{array}\right|$$$.

Die Determinante einer 2x2-Matrix ist $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$.

$$$\left|\begin{array}{cc}7 & -13\\2 & 1\end{array}\right| = \left(7\right)\cdot \left(1\right) - \left(-13\right)\cdot \left(2\right) = 33$$$

$$$\left|\begin{array}{cc}7 & -13\\2 & 1\end{array}\right| = 33$$$A