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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 7EQ
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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
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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