Consider the vector subspaces U, V ,W ⊆ Rn such that U ⊆ V ⊆ W. If dimU = 5 and dimW = 7, what can be said about V? -It always contains a set of 5 linearly independent vectors -dimV = 6 -it always contains a set of 7 linearly independent vectors -the zero vector is not contained in it -it contains a non-zero vector

Consider the vector subspaces U, V ,W ⊆ Rn such that U ⊆ V ⊆ W. If dimU = 5 and dimW = 7, what can be said about V? -It always contains a set of 5 linearly independent vectors -dimV = 6 -it always contains a set of 7 linearly independent vectors -the zero vector is not contained in it -it contains a non-zero vector

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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