Concern the polynomial and an n n matrix C p called the companion matrix of p:

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Concern the polynomialand an n × n matrix C_p called the companion matrix of p:

Let p(t) = a₀ + a₁t + a₂t² + t³, and let be a zero of p.

a. Write the companion matrix for p.

b. Explain why λ³=a₀- a₁λ - a₂λ², and show that (1, λ, λ²) is an eigenvector of the companion matrix for p.

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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 06:37 AM

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Concern the polynomial and an n n matrix C p called the companion matrix of p:

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p(t)= ao + a₁t +...+ an-1t"-1 +t"

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Linear Algebra And Its Applications

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