(a) Is the following set a vector space? {E] a :-8a – 96+ 4c = 0 Yes, this is a vector space. No, it is not a vector space. (b) Is the following set a vector space? : - За + 8 — 5с — 8d, —а + b — бс — 9d d Yes, this is a vector space. No, it is not a vector space. (c) Is the following set a vector space? 4а — 66 : а,b real 8a – 36 Yes, this is a vector space. No, it is not a vector space.

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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(a) Is the following set a vector space?
{E]
a
:-8a – 96+ 4c = 0
Yes, this is a vector space.
No, it is not a vector space.
(b) Is the following set a vector space?
: - За + 8 — 5с — 8d, —а + b — бс — 9d
d
Yes, this is a vector space.
No, it is not a vector space.
(c) Is the following set a vector space?
4а — 66
: а,b real
8a – 36
Yes, this is a vector space.
No, it is not a vector space.
Transcribed Image Text:(a) Is the following set a vector space? {E] a :-8a – 96+ 4c = 0 Yes, this is a vector space. No, it is not a vector space. (b) Is the following set a vector space? : - За + 8 — 5с — 8d, —а + b — бс — 9d d Yes, this is a vector space. No, it is not a vector space. (c) Is the following set a vector space? 4а — 66 : а,b real 8a – 36 Yes, this is a vector space. No, it is not a vector space.
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