Define T: P 2 P 2 by T(p) = p(0) - p(1)t + p(2)t 2 .
Question:
Define T: P2 → P2 by T(p) = p(0) - p(1)t + p(2)t2.
a. Show that I is a linear transformation.
b. Find T (p) when p(t) = -2 + t. Is p an eigenvector of T?
c. Find the matrix for T relative to the basis {1, t, t2} for P2.
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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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