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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:10. Let P denote the vector space of polynomials of degree at most k. Let
T: P3 → P₂ be the function defined by T (p(x)) = p"(x) — 2p'(x). This is &
linear map.
(a) Find the matrix for T with respect to the standard bases for P3 and P₂.
(b) Find a basis for ker T.
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