Suppose A and B have the same eigenvalues 1,...,n with the same independent eigenvectors

Chapter 5, Problem 5.1.35

(choose chapter or problem)

Suppose A and B have the same eigenvalues 1,...,n with the same independent eigenvectors x1,...,xn. Then A = B. Reason: Any vector x is a combination c1x1 + +cnxn. What is Ax? What is Bx?

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