The set B = {− (3 + 4x²), − (6 + 3x + 8x²), 8 + 6x + 8x²} is a basis for P₂. Find the coordinates of p(x)-[p(x)]B =(56 +30x + 64x²) relative to this basis:

Answered: Image /qna-images/answer/e644ee0a-e6ee-4452-a909-8241fc938b6a.jpg

Answered: The set B = {- (3+4x²), − (6+3x+8x²), 8…

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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The set B = {- (3+4x²), − (6+3x+8x²), 8 + 6x +8x²} is a basis for P₂. Find the coordinates of p(x) = − (56 +30x + 64x²) relative to this basis: [p(x)] B =