Discrete Structure (Math) 22(i). Let A = {2,3} be a non-empty set. If R = {(a, b) : a ≤ b and a, b = A} and S = {(a, b) : a = b} are relations on A, then list the relations R and S. 22(ii). Define the equivalence relation on a nonempty set A, and check whether the relation R, given in 22(i), is equivalence relation or not. (iii). Find the matrices MR-1 and MR.S for the relations R and S defined in 22(i).

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Discrete Structure (Math) 22(i). Let A = {2,3} be a non-empty set. If R = {(a, b) : a ≤ b and a, b = A} and S = {(a, b) : a = b} are relations on A, then list the relations R and S. 22(ii). Define the equivalence relation on a nonempty set A, and check whether the relation R, given in 22(i), is equivalence relation or not. (iii). Find the matrices MR-1 and MR.S for the relations R and S defined in 22(i).
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