Check wheth erhe fllowinga group (a bemi -gronup)Q1:7Systoms formsor not.(a): Gこ Setof Yationalunder the blo*no'8defined by(b): Q = Setaba *b =2* , a,b e Gof Yatlonalnos under' * wherea *ba +b-ab(C) : All subsets of X with the operationニA *B = AUB.%3D

a) G is the set of rational numbers under the operation * defined by a*b=ab2, a,b∈G Then G is closed…

Q 1:7 Check whether The following Systoms foms group (a bemi -group) (a): G a or not. Set Yational no-ß under the blo of def imed by a *b = * ** nos under' * where %3D ab, a,be G %3D (b): Q = Set of a +b-ab Yatlonal a * b = (C) : All subsets of X with the operation A *R AUR. %3D

Q 1:7 Check whether The following Systoms foms group (a bemi -group) (a): G a or not. Set Yational no-ß under the blo of def imed by a b = ** nos under' * where %3D ab, a,be G %3D (b): Q = Set of a +b-ab Yatlonal a * b = (C) : All subsets of X with the operation A *R AUR. %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

100%

Check wheth er
he fllowing
a group (a bemi -gronup)
Q1:7
Systoms forms
or not.
(a): G
こ Set
of Yational
under the blo
*
no'8
defined by
(b): Q = Set
ab
a *b =
2
* , a,b e G
of Yatlonal
nos under' * where
a *b
a +b-ab
(C) : All subsets of X with the operation
ニ
A *B = AUB.
%3D

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