Question: Subject: Discrete Math, Graph Theory Consider the relation R = {(1, 1),(1, 3),(2, 2),(3, 4),(3, 3),(4, 4),(3, 1),(4, 1),(1, 4),(4, 3)} on the set A

Subject: Discrete Math, Graph Theory

Consider the relation R = {(1, 1),(1, 3),(2, 2),(3, 4),(3, 3),(4, 4),(3, 1),(4, 1),(1, 4),(4, 3)} on the set A = {1, 2, 3, 4}.

(a) Is R an equivalence relation? If yes, find the equivalence classes. (Justify your answer).

(b) Find the matrix representation of the relation R.

(c) Draw the graph corresponding to the matrix representation.

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