What is the dimension of P2? 1 3 O 4

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,...
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Question
Does S = {x² +1,x² – 1, 2x – 1} span P2?
Yes
No
Are the polynomials x? + 1,x² – 1, 2x – 1 linearly independent in P2?
Yes
No
Do the polynomials x2 + 1,x2 – 1,2x – 1 form a basis in P2?
|
Yes
No
What is the dimension of P2?
1
2
4
Transcribed Image Text:Does S = {x² +1,x² – 1, 2x – 1} span P2? Yes No Are the polynomials x? + 1,x² – 1, 2x – 1 linearly independent in P2? Yes No Do the polynomials x2 + 1,x2 – 1,2x – 1 form a basis in P2? | Yes No What is the dimension of P2? 1 2 4
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