Please help me with the below question. Q2) (a) Show that the relation {(0,0), (1,1), (1,2), (2,1),(2,2), (3,3)} is an equivalencerelation on (0,1,2,3}.(b) What are the equivalence classes of the equivalence relation in part (a) above?

Answered: 22) (a) Show that the relation {(0,0),…

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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(1) Prove that the relation is an equivalence relation, and(2) Describe the distinct equivalence classes of reach relation.

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22) (a) Show that the relation {(0,0), (1,1),(1,2), (2,1), (2,2), (3,3)} is an equivalence relation on {0,1,2,3}. (b) What are the equivalence classes of the equivalence relation in part (a) above?