#Consider the vector space R' (over R) and ZcR consisting of vectos z=(2,2, 2,), with these properties: (a) 2,=0 (b) z, +z,=0 (c) z,+z,=1 In which of these cases is Z a subspace?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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#Consider the vector space R (over
R) and ZCR³ consisting of vectors
z=(z, z, z,), with these properties:
(а) 2,%3D0
(b) z,+z,=0
(c) z,+z,=1
In which of these cases is Z a subspace?
Transcribed Image Text:#Consider the vector space R (over R) and ZCR³ consisting of vectors z=(z, z, z,), with these properties: (а) 2,%3D0 (b) z,+z,=0 (c) z,+z,=1 In which of these cases is Z a subspace?
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