•7. Let L: R[2]deg52 + R[z]degs2 be the linear map D(p(x)) = p(x) – p'(x).(a) Find Cyc(L, z²).(b) Let Wspan(Cyc(L, r?)) be the subspace whose basis is your answer to (a),%3DB = Cyc(L, r). Find the B-matrix of Lw.%3D

Note: The linear map is defined by L, so we are solving it L(p(x)) instead of D(p(x)). Given linear…

Answered: Let L: R[z}des52 + R[z}des2 be the…

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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Let L: R[z}des52 + R[z}des2 be the linear map D(p(z)) = p(z) – p'(z). (a) Find Cyc(L, z²). (b) Let W span(Cyc(L, z)) be the subspace whose basis is your answer to (a), B = Cyc(L, r). Find the B-matrix of Llw. %3D