Question: Suppose that T: V V is an invertible linear transformation with a nonzero eigenvalue . Prove that 1/ is an eigenvalue of T-1.

Suppose that T: V → V is an invertible linear transformation with a nonzero eigenvalue λ. Prove that 1/λ is an eigenvalue of T-1.

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Let v be an eigenvector of T for the eigenvalue Then T 1 v 1 T 1 v 0 1 T 1 v Theor... View full answer

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