Question: Problem 8 (* * Eigenvalues and eigenvectors) Suppose that A and B are square symmetric matrices in Rnxn (a) Show that if A and B

Problem 8 (* * Eigenvalues and eigenvectors) Suppose that A and B are square symmetric matrices in Rnxn (a) Show that if A and B have the same eigenvectors, then they commute, i.e., AB = BA. (b) Show that if AB = BA and A has no repeated eigenvalues, then A and B have the same eigenvectors. Clearly show where you use the assumption that there are not repeated eigenvalues

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