2. Consider the relation on A = {(1,0), (-1,0), (1,3), (2, 4), (-4,-8), (3,9), (3,6)}, defined by: For all (a, b), (c, d) € A, a. Show that R is an equivalence relation. (a, b) R (c, d) if ad = bc. %3D b. Find the distinct equivalence classes R.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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2. Consider the relation on
A = {(1,0), (-1,0), (1,3), (2, 4), (-4,-8), (3,9), (3,6)},
defined by:
(a, b) R (c, d) if ad = bc.
For all (a, b), (c, d) E A,
a. Show that R is an equivalence relation.
b. Find the distinct equivalence classes R.
Transcribed Image Text:2. Consider the relation on A = {(1,0), (-1,0), (1,3), (2, 4), (-4,-8), (3,9), (3,6)}, defined by: (a, b) R (c, d) if ad = bc. For all (a, b), (c, d) E A, a. Show that R is an equivalence relation. b. Find the distinct equivalence classes R.
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