Question: Prove that if T is nonsingular and has eigenvalues 1,......,, n then T-1 has eigenvalues 1 = 1,...., = n. Is the converse true?

Prove that if T is nonsingular and has eigenvalues λ1,......,, λn then T-1 has eigenvalues 1 = λ1,...., = λn. Is the converse true?

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