Question: Theorem EIM says that if is an eigenvalue of the nonsingular matrix A, then 1 is an eigenvalue of A-1. Write an alternate

Theorem EIM says that if λ is an eigenvalue of the nonsingular matrix A, then 1 λ is an eigenvalue of A-1. Write an alternate proof of this theorem using the characteristic polynomial and without making reference to an eigenvector of A for λ.

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