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Let V be a vector space over a field ♬ with zero vector 0 and let S, T be subspaces of V. Then which of the following statements are false? SnT is a subspace of V. S+T is a subspace of V. S‡S + S.

Let V be a vector space over a field ♬ with zero vector 0 and let S, T be subspaces of V. Then which of the following statements are false? SnT is a subspace of V. S+T is a subspace of V. S‡S + S.

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
Section4.3: Subspaces Of Vector Spaces
Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...
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Let V be a vector space over a field F with zero vector 0 and let S, T be subspaces of V. Then which of the following statements are false? O SnT is a subspace of V. S+T is a subspace of V. S‡S + S.
Transcribed Image Text:Let V be a vector space over a field F with zero vector 0 and let S, T be subspaces of V. Then which of the following statements are false? O SnT is a subspace of V. S+T is a subspace of V. S‡S + S.
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