If S, is a subspace of R* of dimension 3, then there cannot exist a subspace S, of R* such that Si c S2CRª with S, # S2 and S2 =R*. O True O False

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 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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If S, is a subspace of R* of dimension 3,
then there cannot exist a subspace S2 of R*
such that S, c S2CR* with S, = S2 and
S2 # R*.
True
False
Transcribed Image Text:If S, is a subspace of R* of dimension 3, then there cannot exist a subspace S2 of R* such that S, c S2CR* with S, = S2 and S2 # R*. True False
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