The set B = {2+ 2x², 4 − 3x + 4x², 19 − 9x + 18x²} is a basis for P₂. Find the coordinates of p(x) = = 84 - 39x + 80x² relative to this basis:

Elementary Linear Algebra (MindTap Course List)
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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, 4 − 3x + 4x², 19 − 9x + 18x²} is a basis for P₂. Find the coordinates
= 84 - 39x + 80x² relative to this basis:
of p(x)
[p(x)]B
=
-5
-8
-17
Transcribed Image Text:The set B = {2+ 2x², 4 − 3x + 4x², 19 − 9x + 18x²} is a basis for P₂. Find the coordinates = 84 - 39x + 80x² relative to this basis: of p(x) [p(x)]B = -5 -8 -17
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