Define T : R 2 R 2 by T (p) = p(1) + p(1)t + p(1)t

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Define T : R₂ → R₂ by T (p) = p(1) + p(1)t + p(1)t².

a. Find T(p) when p(t) = 1 + t + t². Is p an eigenvector of T? If p is an eigenvector, what is its eigenvalue?

b. Find T(p) when p(t) = - 2 + t. Is p an eigenvector of T? If p is an eigenvector, what is its eigenvalue?

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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 07:12 AM

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Define T : R 2 R 2 by T (p) = p(1) + p(1)t + p(1)t

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a Tp 3 3t 3t 2 3 p thus p i...View the full answer

Linear Algebra And Its Applications

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