The set F = {1+t,t +t, 1+2t+t2} is a basis for P₂. Find the coordinate vector of p(t)= 3 +t-4t² relative to F. O O P₁ = [P] = O O pl, || P), = (P), A 9 [P], = A 267 201

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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The set F = {1+t,t +t, 1+ 2t + t2} is a basis for P₂. Find the coordinate vector of p(t)= 3 +t-41² relative to
O
O
O
O
P), =
[pl,
P
O
11
(P), =
(P),
732
A
+77
A
(p), =
121
267
-A
Transcribed Image Text:The set F = {1+t,t +t, 1+ 2t + t2} is a basis for P₂. Find the coordinate vector of p(t)= 3 +t-41² relative to O O O O P), = [pl, P O 11 (P), = (P), 732 A +77 A (p), = 121 267 -A
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