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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 31E
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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.
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