Let U be a subspace of a finite-dimensional vector space V.Prove that dim(U) = dim(V) if and only if U = V.

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Answered: Let U be a subspace of a…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 43E: Prove that in a given vector space V, the zero vector is unique.

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Let U be a subspace of a finite-dimensional Prove that dim(U) = dim(V) if and only if U = V. vector space V.