If A and B are similar matrices, say B = P 1 AP, then it follows from Exercise 23 that A
Chapter 8, Problem 24(choose chapter or problem)
If A and B are similar matrices, say B = P 1 AP, then it follows from Exercise 23 that A and B have the same eigenvalues. Suppose that is one of the common eigenvalues and x is a corresponding eigenvector of A. See if you can find an eigenvector of B corresponding to (expressed in terms of , x, and P)
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