Let P4 be the vector space of polynomials of degree at most 4.(a) Let W1 be the subset of P consists of polynomials p(x) = ao + a1x + a2x? + azx³ + a4x4for which ao + az – a4 = 1. Is W1 a subspace of P4? Justify your answer.(b) Let W, be the subset of P4 consists of even polynomials; namely, polynomials p(x) forwhich p(x) = p(-x). Is W2 a subspace of P4? Justify your answer.(c) Let W3 be the subset of P4 consists of polynomials p(x) for which p(2) = 2p(3). Is W3 asubsapce of P4? Justify your answer.

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Answered: Let P4 be the vector space of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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