Consider an mxn matrix A and an nxm matrix B. Using Exercise 56 as a guide, show that

Chapter 7, Problem 57

(choose chapter or problem)

Consider an mxn matrix A and an nxm matrix B. Using Exercise 56 as a guide, show that matrices A B and BA have the same nonzero eigenvalues, with the same algebraic multiplicities. What about eigenvalue 0?

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