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

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

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

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

$$$\left|\begin{array}{cc}- \lambda & 1\\0 & 1 - \lambda\end{array}\right| = \lambda \left(\lambda - 1\right)$$$A