Let A and B be similar matrices. Prove that the geometric multiplicities of the
Chapter 4, Problem 4.4.46(choose chapter or problem)
Let A and B be similar matrices. Prove that the geometric multiplicities of the eigenvalues of A and B are the same. [Hint: Show that, if B P 1 AP, then every eigenvector of B is of the form P 1 v for some eigenvector v of A.] 4
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