Consider the map T : P2 + P2 given byT(p(x)) = p"(x) +p(x)Find [T] in terms of the basis B = {1 – x, 1+x, x² – 4}. (Note: your answer should be a 3 x 3 matrix.)

Matrix represetation using the basis

Answered: Consider the map T : P2 H→ P2 given by…

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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Consider the map T : P2 H→ P2 given by T(p(x)) = p" (x) + p(x) Find [T] in terms of the basis ß = {1 – x, 1+ x, x² – 4}. (Note: your answer should be a 3 x 3 matrix.)