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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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