Question 14 Determine whether the set of vectors is a basis for R³. {}} A: Set is linearly independent and spans R³. Set is a basis for R³. B: Set is linearly independent but does not span R³. Set is not a basis for R³. Given the set of vectors C: Set spans but is not linearly independent. Set is not a basis for R³. D: Set is not linearly independent and does not span ³. Set is not a basis for R³. OC OD OA decide which of the following statements is true: B

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...
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D Question 14
Determine whether the set of vectors is a basis for R³.
{88}
A: Set is linearly independent and spans ³. Set is a basis for R³.
B: Set is linearly independent but does not span R³. Set is not a basis for R³.
C: Set spans but is not linearly independent. Set is not a basis for R³.
D: Set is not linearly independent and does not span R³. Set is not a basis for R³.
Given the set of vectors
OC
O
O
O
O
A
B
decide which of the following statements is true:
Transcribed Image Text:D Question 14 Determine whether the set of vectors is a basis for R³. {88} A: Set is linearly independent and spans ³. Set is a basis for R³. B: Set is linearly independent but does not span R³. Set is not a basis for R³. C: Set spans but is not linearly independent. Set is not a basis for R³. D: Set is not linearly independent and does not span R³. Set is not a basis for R³. Given the set of vectors OC O O O O A B decide which of the following statements is true:
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