Consider the following statements: 1. There exists a set of 3 vectors that spans R'. 2. If {v1, v2, v3, V4 , V5} is linearly independent in R' then {v1, v2, v3 , V4, V5} is a basis. 3. If {v1, v2, v3 , v4, v5} spans R, then {v, v2, v3 , v4, V5 } is a basis. 4. Every set of vectors that spans R' is a basis. 5. Every linearly independent set of vectors in R is a basis. which of the fcllowing is true? O A. Statements 1 and 5 are true. B. Statements 3 and 4 are true. O C. Statements 2 and 3 are true. O D. Statements 1 and 2 are true. O E Statements 4 and 5 are true. O O O O

Consider the following statements: 1. There exists a set of 3 vectors that spans R'. 2. If {v1, v2, v3, V4 , V5} is linearly independent in R' then {v1, v2, v3 , V4, V5} is a basis. 3. If {v1, v2, v3 , v4, v5} spans R, then {v, v2, v3 , v4, V5 } is a basis. 4. Every set of vectors that spans R' is a basis. 5. Every linearly independent set of vectors in R is a basis. which of the fcllowing is true? O A. Statements 1 and 5 are true. B. Statements 3 and 4 are true. O C. Statements 2 and 3 are true. O D. Statements 1 and 2 are true. O E Statements 4 and 5 are true. O O O O

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

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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