Let U and W be arbitrary subspaces in vector space V with dimensions dim U=6 and dimW=4. Which of the following conclusions is not correct? (a) If dimV=9, then dim(U∩W)≥1. (b) If dim(U∩W)=3, then dim(U+W)=7. (c) If dim(U+W)=6, then W⊆U. (d) If dim(U∩W)=4, then W⊆U. (e) If dimV=12, then U∩W={0}.

Let U and W be arbitrary subspaces in vector space V with dimensions dim U=6 and dimW=4. Which of the following conclusions is not correct? (a) If dimV=9, then dim(U∩W)≥1. (b) If dim(U∩W)=3, then dim(U+W)=7. (c) If dim(U+W)=6, then W⊆U. (d) If dim(U∩W)=4, then W⊆U. (e) If dimV=12, then U∩W={0}.

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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