Which of the followings is not a subspace of the vector space V? a) V = Mxn(R),W = {A € VIAT = A} b) V = c(-0,00),w (f(x) E VIf(x) > 0}. c) v = R", W = {veV|Av = Av,where A eV = Maxn(R) and A E R}. d) None of these.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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Which of the followings is not a subspace of the vector space V?
a) v = Mxn(R), w (A E VIAT = A}
b) V = C(-0,00),w (f(x) E Vlf(x) > 0).
c) V = R", W = {v€V\Av = Àv, where A eV = Mpxn (R) and À E R}.
d) None of these.
Transcribed Image Text:Which of the followings is not a subspace of the vector space V? a) v = Mxn(R), w (A E VIAT = A} b) V = C(-0,00),w (f(x) E Vlf(x) > 0). c) V = R", W = {v€V\Av = Àv, where A eV = Mpxn (R) and À E R}. d) None of these.
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