15. Let U and V be subspaces of a vector space W. Show that if W = UV, then UnV = {0}.

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...
icon
Related questions
Question
15. Let U and V be subspaces of a vector space W.
Show that if W = UV, then UnV = {0}.
Transcribed Image Text:15. Let U and V be subspaces of a vector space W. Show that if W = UV, then UnV = {0}.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer