Question: For a given set A = {a, b, c, d), consider the relational matrix: MR = [1 0 1 0] 1 1 1 1

For a given set A = {a, b, c, d), consider the relational matrix: MR = [1 0 1 0] 1 1 1 1 1 0 0 1 0 1 1 0] (a) Identify the exact relation R as formed for the given set A. How many such relations are possible for set A? (b) Use predicate logic and quantifier to define composite relation. Find the composite rela- tion M = MR MR showing all setps of calculation. (c) Calculate the difference MR (MRO MR). (d) Is it reflexive, symmetric or antisymmetric? Justify your answer.

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