Let B = {1, 2, 3, 4, 5}. A relation on B is given by S = {(1,1), (1,2), (2,2), (2,5), (3,2), (3,5), (4,4), (5,1)}. Find, (a) the reflexive closure of S; (b) the symmetric closure of S; (c) the matrix of transitive closure of S by using Warshall's algorithm.

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