2x2-Matrix/Charakteristisches Polynom direkt/Annullierung/Aufgabe

Zu einer ${}2\times 2$ -Matrix ${}M={\begin{pmatrix}a&b\\c&d\end{pmatrix}}$ sei

{}P_{M}:=X^{2}-\operatorname {Spur} {\left(M\right)}X+\det M\,.

Zeige, dass ${}P_{M}(M)=0$

ist.

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