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4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a. must be linearly dependent b. must have infinitely many elements C. must consists of at least 5 elements d. must be linearly independent must have exactly 5 elements must have at most 5 elements g. must be a basis for V e. f.

4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a. must be linearly dependent b. must have infinitely many elements C. must consists of at least 5 elements d. must be linearly independent must have exactly 5 elements must have at most 5 elements g. must be a basis for V e. f.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a. must be linearly dependent b. must have infinitely many elements C. must consists of at least 5 elements d. must be linearly independent e. must have exactly 5 elements must have at most 5 elements g. must be a basis for V مه ته نه f.
Transcribed Image Text:4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a. must be linearly dependent b. must have infinitely many elements C. must consists of at least 5 elements d. must be linearly independent e. must have exactly 5 elements must have at most 5 elements g. must be a basis for V مه ته نه f.
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