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 =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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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 =
Transcribed Image Text: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 =
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