3. Let W be the subspace of R3 [x] spanned by the polynomials 1+2x+3x²+4x³, 2+3x+4x²+x³, 3+4x + x² + 2x³ and 4 + x + 2x² + 3x³. What is the dimension of W? (a) 4 (b) 3 (c) 2 (d) 1

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
3. Let W be the subspace of R3 [x] spanned by the polynomials 1+2x+3x²+4x³, 2+3x+4x²+x³,
3+ 4x + x² + 2x³ and 4 + x + 2x² + 3x³. What is the dimension of W?
(a) 4
(b) 3
(c) 2
(d) 1
Transcribed Image Text:3. Let W be the subspace of R3 [x] spanned by the polynomials 1+2x+3x²+4x³, 2+3x+4x²+x³, 3+ 4x + x² + 2x³ and 4 + x + 2x² + 3x³. What is the dimension of W? (a) 4 (b) 3 (c) 2 (d) 1
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education