Suppose V is finite-dimensional and U is a subspace of V such that dim U = dim V. Prove that U = V. %3D

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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Suppose V is finite-dimensional and U is a subspace of V such that
dim U = dim V. Prove that U = V.
Transcribed Image Text:Suppose V is finite-dimensional and U is a subspace of V such that dim U = dim V. Prove that U = V.
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