The set F = {1+t², t+t², 1+ 2t+t²} is a basis for P₂. Find the coordinate vector of p(t) = 3 + t - 4t² relative to O O Pi= P/= P = O O 32 P, = T26 Pr = 6 P/= 477 292 -H 1 -1 H

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 F = {1+t², t+t², 1+2t+t²} is a basis for P₂. Find the coordinate vector of p(t) = 3 + t – 4t² relative to
F.
0
O
Pr
Pr =
G
P =
O
P =
P
11
P/ =
37
M
26
P
477
797
6
1
8
A
Transcribed Image Text:The set F = {1+t², t+t², 1+2t+t²} is a basis for P₂. Find the coordinate vector of p(t) = 3 + t – 4t² relative to F. 0 O Pr Pr = G P = O P = P 11 P/ = 37 M 26 P 477 797 6 1 8 A
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