This question has multiple correct answers! Let V be a five-dimensional vector space, and let S be a subset of V which is a basis for V. Then S Must have exactly five elements. Must span V. O Can have any number of elements (except zero). Must be linearly independent. Must be linearly dependent.

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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This question has multiple correct answers!
Let V be a five-dimensional vector space, and let S be a subset of V
which is a basis for V. Then S
Must have exactly five elements.
Must span V.
O Can have any number of elements (except zero).
Must be linearly independent.
Must be linearly dependent.
Transcribed Image Text:This question has multiple correct answers! Let V be a five-dimensional vector space, and let S be a subset of V which is a basis for V. Then S Must have exactly five elements. Must span V. O Can have any number of elements (except zero). Must be linearly independent. Must be linearly dependent.
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