Suppose that T: V V is an invertible linear transformation with a nonzero eigenvalue . Prove

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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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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:43 AM

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Suppose that T: V V is an invertible linear transformation with a nonzero eigenvalue . Prove

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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 the full answer

Linear Algebra

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