The set B = {- (2 + 2x²), (6+4x+6x²), 18 + 8x + 16x²} is a basis for P₂. Find the coordinates of p(x) = - (32 + 8x + 26x²) 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 = {-(2 + 2x²), - (6+4x+6x²), 18 + 8x + 16x²} is a basis for P₂. Find the coordinates of p(x) = - (32 + 8x +26x²)
relative to this basis:
[p(x)] B =
Transcribed Image Text:The set B = {-(2 + 2x²), - (6+4x+6x²), 18 + 8x + 16x²} is a basis for P₂. Find the coordinates of p(x) = - (32 + 8x +26x²) relative to this basis: [p(x)] B =
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