Let A and B be n n matrices. Prove that the sum of all the eigenvalues of A B is the sum
Chapter 4, Problem 4.3.41(choose chapter or problem)
Let A and B be n n matrices. Prove that the sum of all the eigenvalues of A B is the sum of all the eigenvalues of A and B individually. Prove that the product of all the eigenvalues of AB is the product of all the eigenvalues of A and B individually. (Compare this exercise with Exercise 24.)
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