Question: Let A and B be n n matrices, each with n distinct eigenvalues. Prove that A and B have the same eigenvectors if and

Let A and B be n × n matrices, each with n distinct eigenvalues. Prove that A and B have the same eigenvectors if and only if AB = BA.

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Since A and B each have n distinct eigenvalues they are both diagonalizable by Theorem 42... View full answer

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