1. How to show (prove) the Cayley-Hamilton theorem :(adsbygoogle = window.adsbygoogle || []).push({});

“Every matrix is a zero of its characteristic polynomial , Pa(A)=0”.

2. A and B are n-square matrices, show that AB and BA have the same eigenvalues.

3. Show that to say that “ 0is an eigenvalue of linear mapping U” is equivalent to “ U is singular”.

4. Compare eigenvalues of U and eigenvalues of U[upperscript]-1[/upperscript].

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# Eigenvalues And Eigenvectors Problems

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