Define T : R 2 R 2 by T (p) = p(1) + p(1)t + p(1)t
Question:
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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a Tp 3 3t 3t 2 3 p thus p i...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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