The set B = {4 - 2x², 12 + 3x − 6x², 18x² − (35 + 6x)} is a basis for P₂. Find the coordinates of p(x) = 72x² - (140 + 27x) relative tothis basis:[p(x)]B =

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Answered: The set B = {4- 2x², 12 + 3x − 6x²,…

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 = {4- 2x², 12 + 3x − 6x², 18x² - (35 + 6x)} is a basis for P₂. Find the coordinates of p(x) = 72x2 - (140 +27x) relative to this basis: [p(x)]B =