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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 40E
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b1b6061-8e84-41a2-beaa-67f7a10d667d%2F1b2bdd28-e8a0-4ea6-b7b8-360854c74586%2Fjnd5ynd_processed.png&w=3840&q=75)
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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