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5. Consider the relation R = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3,3) }. (a) Does the

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5. Consider the relation R = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3,3) }. (a) Does the relation satisfy each of following properties? Explain. Reflexive? Symmetric? Antisymmetric? Transitive? (Decide this by directly examining the ordered pairs.) Partial Order? Equivalence Relation? (b) Show the matrix of this relation. Use matrix multiplication to decide if the relation is transitive. Explain

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