Thread: Eigenvalue proof

Let A and B be n*n matrices. Show that AB and BA have the same eigenvalues.
(Hint: Consider separately the two cases (i) B is invertible, and
(ii) B is not invertible.

Originally Posted by ulysses123

Let A and B be n*n matrices. Show that AB and BA have the same eigenvalues.
(Hint: Consider separately the two cases (i) B is invertible, and
(ii) B is not invertible.

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