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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a1a8c69-ac20-486b-9f67-8f66504c5494%2F6872865d-ffb5-47d5-b04c-6ead7e831c2b%2F2t7mfie_processed.jpeg&w=3840&q=75)
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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