where + is the usual addition operation in Q, and −b is the additive inverse of b in Q. 3 - 517 a*b = 3 + 3+ ab for each a, b € Q -b 2 E 1. Compute *- in (G, *) 2. Show that the operation * is not associative on G.
where + is the usual addition operation in Q, and −b is the additive inverse of b in Q. 3 - 517 a*b = 3 + 3+ ab for each a, b € Q -b 2 E 1. Compute *- in (G, *) 2. Show that the operation * is not associative on G.
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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Hello! Please help me out with this problem!
Let G = Q be the set of all rational numbers, with the
operation * defined by
![for each a, b EQ
where + is the usual addition operation in Q, and -b is the additive inverse of b in Q.
3
5
1. Compute *-
4
a*b = 3+
a-b
2
in (G, *)
2. Show that the operation * is not associative on G.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe00cebfb-aec4-474d-8979-79a2d105b819%2F11475129-0212-4f3d-85b5-fd122a52c371%2Fqmgc1oi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:for each a, b EQ
where + is the usual addition operation in Q, and -b is the additive inverse of b in Q.
3
5
1. Compute *-
4
a*b = 3+
a-b
2
in (G, *)
2. Show that the operation * is not associative on G.
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