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)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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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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