Either show the following relations on {0, 1, 2, 3} is an equivalence relation, or show which qualities of an equivalence relation it lacks: a. {(0,0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)} b. {(0,0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 2), (3, 3)}
Either show the following relations on {0, 1, 2, 3} is an equivalence relation, or show which qualities of an equivalence relation it lacks: a. {(0,0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)} b. {(0,0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 2), (3, 3)}
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 27E: Prove Theorem 1.40: If is an equivalence relation on the nonempty set , then the distinct...
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