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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
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.
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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