Question

I'm studying Linear Algebra.

A Matrix A is a 3*3 matrix and it has 3 linear independent
eigenvectors. The Matrix B has the same eigenvectors (but not
necessarily the same eigenvalues). I'm supposed to prove that
AB=BA. I'm given a clue that says: ,, Is it possible to diagonal A
and B?''. I want to be clear that the matrixes are not given.

Thank you.

Answer #1

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not necessarily the same eigenvalues), then AB=BA.

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