Theorem EIM says that if is an eigenvalue of the nonsingular matrix A, then 1

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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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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:40 AM

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Theorem EIM says that if is an eigenvalue of the nonsingular matrix A, then 1

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Since is an eigenvalue of a nonsingular matrix 0 Theorem SMZE A is invertib...View the full answer

Linear Algebra

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