Let A be an n n matrix, and suppose A has n real eigenvalues, 1

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Let A be an n × n matrix, and suppose A has n real eigenvalues, λ₁,...,λ_n, repeated according to multiplicities, so that det(A - λI) = (λ₁- λ)(λ₂- λ)... (λ_n - λ) Explain why det A is the product of the n eigenvalues of A.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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Question Posted: May 10, 2023 06:46 AM

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Let A be an n n matrix, and suppose A has n real eigenvalues, 1

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Linear Algebra And Its Applications

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