(a) (Z,*) with a × b = a/b is (b) (Q, *) with a * b = ab - a - b is (c) (Q,*) with a*b = a² +6² is (d) (Q*, *) with a * b = 4ab is Responses: not a group. a group. an Abelian group.

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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Question
(a) (Z,*) with a + b = a/b is
(b) (Q, *) with a * b = ab - a - b is
(c) (Q,*) with a*b = a² + b² is
(d) (Q*, *) with a * b = 4ab is
Responses:
not a group.
a group.
an Abelian group.
Transcribed Image Text:(a) (Z,*) with a + b = a/b is (b) (Q, *) with a * b = ab - a - b is (c) (Q,*) with a*b = a² + b² is (d) (Q*, *) with a * b = 4ab is Responses: not a group. a group. an Abelian group.
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