The set B = {4 – 2x2, 20 + x – 10x2, 28x2 – (55 + 3x)} is a basis for P2. Find the coordinates of p(x) = 22x² – (43 + 2x) relative to this basis: [p(x)]B

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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 – 2x?, 20 + x – 10x?, 28x?
(55+ 3x)} is a basis for P,. Find the coordinates of p(x) = 22x2-
(43 + 2x) relative to this
basis:
[p(x)]B =
Transcribed Image Text:The set B = {4 – 2x?, 20 + x – 10x?, 28x? (55+ 3x)} is a basis for P,. Find the coordinates of p(x) = 22x2- (43 + 2x) relative to this basis: [p(x)]B =
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