Define T : R 3 R 3 by T(p) = p(0) + p(2)t - p(0)t 2
Question:
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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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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