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

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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•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 W
span(Cyc(L, r?)) be the subspace whose basis is your answer to (a),
%3D
B = Cyc(L, r). Find the B-matrix of Lw.
%3D
Transcribed Image Text:•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 W span(Cyc(L, r?)) be the subspace whose basis is your answer to (a), %3D B = Cyc(L, r). Find the B-matrix of Lw. %3D
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