The set F = {1+t², t+t², 1+ 2t+t²} is a basis for P₂. Find the coordinate vector of p(t) = 3 + t − 4ť² relativ O O [P] [P] O P = [P]F 11 [P], P = 6 267 G 1 H] A 4 7 -3 -2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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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 – 4ť² relativ
F.
O
O
[P]F
[P]F
||
P =
PF =
[p] =
[P]
[F]
26
267
G
267
wit
7
-3
-2
Transcribed Image Text:Question 4 The set F = {1+t², t+t², 1+ 2t+t²} is a basis for P2. Find the coordinate vector of p(t) = 3 + t – 4ť² relativ F. O O [P]F [P]F || P = PF = [p] = [P] [F] 26 267 G 267 wit 7 -3 -2
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