Question 4. (a) Suppose U and W are subspaces of a vector space V. Prove that UnW = {v : v E U and v E W} is a subspace of V. (b) Give an example of two subspaces U and W and a vector space V such that U UW = {v : v E U or v E W} is not a subspace of V.

Question 4. (a) Suppose U and W are subspaces of a vector space V. Prove that UnW = {v : v E U and v E W} is a subspace of V. (b) Give an example of two subspaces U and W and a vector space V such that U UW = {v : v E U or v E W} is not a subspace of V.

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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