25. B = (f1, f2, f3) is a basis for R2[x] where fi = 1+ x + 2x², f2 = 1 + 2x + 5x², f3 = 2 + x + 2x². 3 If g € R2[x] and [g]B then g = a) 3 – 2x + x2 b) Зх — 2л2 с) 3 — 2х d) 3 – 2x2 e) 3 – x2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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25.
B = (f1, f2, f3) is a basis for R2[a] where
fi = 1+x + 2x² , f2 = 1 + 2x + 5x2, f3 = 2 + x + 2x².
%3D
3
If g e R2[x] and [g]B =
then g :
1
a) 3 – 2x + x?
b) Зх — 22
с) 3 — 2т
d) 3 – 2.x2
|
-
e) 3 – x2
Transcribed Image Text:25. B = (f1, f2, f3) is a basis for R2[a] where fi = 1+x + 2x² , f2 = 1 + 2x + 5x2, f3 = 2 + x + 2x². %3D 3 If g e R2[x] and [g]B = then g : 1 a) 3 – 2x + x? b) Зх — 22 с) 3 — 2т d) 3 – 2.x2 | - e) 3 – x2
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