Define T : R 3 R 3 by T(p) = p(0) + p(2)t - p(0)t 2

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Define T : R₃ → R₃ by T(p) = p(0) + p(2)t - p(0)t² - p(2)t³.

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

b. Find T(p) when p(t) = t - t³. 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 3 R 3 by T(p) = p(0) + p(2)t - p(0)t 2

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a Tp 1 4t 4t 2 t 3 which is n...View the full answer

Linear Algebra And Its Applications

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