$$$\left[\begin{array}{cc}1 - \lambda & 0\\0 & - \lambda\end{array}\right]$$$'nin determinantı

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

2x2 boyutlu bir matrisin determinantı $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$ olarak verilir.

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

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