Determine whether or not the given vectors in R² form a basis for R². 6 - [8]/1/2 5 8 Do the given vectors form a basis for R²? O A. No, because v₁ and v₂ vectors are linearly dependent. OB. Yes, because v₁ and v₂ are both two-dimensional and R² is a two-dimensional vector space. OC. Yes, because v₁ and v₂ are linearly independent. O D. No, there are not enough vectors to form a basis for R².

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
2
Determine whether or not the given vectors in R² form a basis for R².
V₁ =
6
3
V₂ =
5
8
de
Do the given vectors form a basis for R²?
O A. No, because v₁ and v₂ vectors are linearly dependent.
V2
B. Yes, because v₁ and v₂ are both two-dimensional and R² is a two-dimensional vector space.
OC. Yes, because v₁ and v₂ are linearly independent.
V2
OD. No, there are not enough vectors to form a basis for R².
Transcribed Image Text:2 Determine whether or not the given vectors in R² form a basis for R². V₁ = 6 3 V₂ = 5 8 de Do the given vectors form a basis for R²? O A. No, because v₁ and v₂ vectors are linearly dependent. V2 B. Yes, because v₁ and v₂ are both two-dimensional and R² is a two-dimensional vector space. OC. Yes, because v₁ and v₂ are linearly independent. V2 OD. No, there are not enough vectors to form a basis for R².
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,