Determine whether or not the given vectors in R² form a basis for R². 5 V₁ [] 9 Do the given vectors form a basis for R²? OA. Yes, because v₁ and v₂ are linearly independent. OB. No, there are not enough vectors to form a basis for R². OC. Yes, because v₁ and v₂ are both two-dimensional and R² is a two-dimensional vector space. OD. No, because v₁ and v₂ vectors are linearly dependent. 11 V₂ 11
Determine whether or not the given vectors in R² form a basis for R². 5 V₁ [] 9 Do the given vectors form a basis for R²? OA. Yes, because v₁ and v₂ are linearly independent. OB. No, there are not enough vectors to form a basis for R². OC. Yes, because v₁ and v₂ are both two-dimensional and R² is a two-dimensional vector space. OD. No, because v₁ and v₂ vectors are linearly dependent. 11 V₂ 11
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
H3.
![Determine whether or not the given vectors in R² form a basis for R².
5
V₁
[]
9
Do the given vectors form a basis for R²?
OA. Yes, because v₁ and v₂ are linearly independent.
OB. No, there are not enough vectors to form a basis for R².
OC. Yes, because v, and v₂ are both two-dimensional and R² is a two-dimensional vector space.
OD. No, because v₁ and v₂ vectors are linearly dependent.
V₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bf84f1e-d212-4bde-b4d8-ac8359c3167c%2F1ec063b1-2ef2-4fef-a516-0d9aa7de1ae9%2F4r63pe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine whether or not the given vectors in R² form a basis for R².
5
V₁
[]
9
Do the given vectors form a basis for R²?
OA. Yes, because v₁ and v₂ are linearly independent.
OB. No, there are not enough vectors to form a basis for R².
OC. Yes, because v, and v₂ are both two-dimensional and R² is a two-dimensional vector space.
OD. No, because v₁ and v₂ vectors are linearly dependent.
V₂
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