Determinante von $$$\left[\begin{array}{cc}1 & 5\\0 & 4\end{array}\right]$$$

Berechne $$$\left|\begin{array}{cc}1 & 5\\0 & 4\end{array}\right|$$$.

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

$$$\left|\begin{array}{cc}1 & 5\\0 & 4\end{array}\right| = \left(1\right)\cdot \left(4\right) - \left(5\right)\cdot \left(0\right) = 4$$$

$$$\left|\begin{array}{cc}1 & 5\\0 & 4\end{array}\right| = 4$$$A