Determinante von $$$\left[\begin{array}{cc}-4 & 0\\2 & 1\end{array}\right]$$$

Berechne $$$\left|\begin{array}{cc}-4 & 0\\2 & 1\end{array}\right|$$$.

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

$$$\left|\begin{array}{cc}-4 & 0\\2 & 1\end{array}\right| = \left(-4\right)\cdot \left(1\right) - \left(0\right)\cdot \left(2\right) = -4$$$

$$$\left|\begin{array}{cc}-4 & 0\\2 & 1\end{array}\right| = -4$$$A