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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.

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
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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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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