Consider the family of sets S - [{1,5, 6), (2,4,6), (4,5, 6), (2,5, 6), (3,4, 5}, {1,4, 6}). (1.1) and let Y - (1,3,4,5). Define the relation Ron S by (A, B) eR AY=B\Y, where A, B are arbitrary elements of S. 0 (a) Since for every A ES A\Y-\Y, where the relation R (here and below in (b-d), please type is or is not in the input field below) is reflexive. (b) Given any A, BES, we have that A\Y-B\YB\Y-L\Y where 2 - A and hence the relation R is symmetric. (e) For every A, B,Ce s, (A\Y = B\Y) and (B\Y =C\Y) mplies A\Y -L\Y, where and hence the relation R is transitive. (d) Accordingly, by (a,bc), the relation R is an equivalence relation on S. (1) Find the matrix Mg of the relation FR (please enter the matrix row-by-row in the six input fields below, when entering each row, separate the entries by single spaces; understandably, the i-th row/column of the matrix Mg must correspond to the f-th set A, in the list of the elements of S given in Eg (1.1) above): (H) if your answer in (d) in part (0) is yes, describe the equivalence classes by the relation R below (please enter the sets A, in each equivalence class so that their indices are in increasing order, similar to A- (A1,4. 3, A 5 ) } [44] - { [Aal = { [A3] = { [A -{ [As) - ( [Aal - {