1. The Set of polynomials of degree ≤ 5 is a vector space. a. True b. False 2. If S = {a, b, c..., v} be a finite set of at least 2 vectors in a vector space V. S is linearly independent if no vector in S can be expressed as linear combination of the other vectors. a. True b. False 3. The set of vectors {(a, b) ER: b = 3a + 1} a. True b. False

1. The Set of polynomials of degree ≤ 5 is a vector space. a. True b. False 2. If S = {a, b, c..., v} be a finite set of at least 2 vectors in a vector space V. S is linearly independent if no vector in S can be expressed as linear combination of the other vectors. a. True b. False 3. The set of vectors {(a, b) ER: b = 3a + 1} a. True b. False

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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