Determine which of the following statements is true. A: If V is a 4-dimensional vector space, then any set of exactly 4 elements in V is automatically a basis for V. B: If there exists a set {v1,..., V5} that spans V, then dim V = 5. C: If H is a subspace of a finite-dimensional vector space V, then dim Hs dim V. Select one: O a. C O b. A and C O c. B O d. A

Determine which of the following statements is true. A: If V is a 4-dimensional vector space, then any set of exactly 4 elements in V is automatically a basis for V. B: If there exists a set {v1,..., V5} that spans V, then dim V = 5. C: If H is a subspace of a finite-dimensional vector space V, then dim Hs dim V. Select one: O a. C O b. A and C O c. B O d. A

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 73CR

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