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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
icon
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax