(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A and B be to nXn matrices and A is invertible. Prove: [tex] P_{AB}(x)=P_{BA}(x) [/tex]

3. The attempt at a solution

Since A is invertible we have det(A)=0. [tex]det(AB)= det(A)det(B)=0det(B)=0 ->P_{AB}(x)=P_{BA}(x)=0 [/tex]

Is that correct?

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# Homework Help: Charecteristic polynomial

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