State the reasons for the relation R on the set `{ 1,2,3}` given by `R = { (1,2), (2,1)}` not to be transitive.

Write down the identity relation on the set A={1,2,3} .

Given an example of an empty relation in the set A={1,2,3,4} .

Give an example of a universal relation in the set A={1,2,3,4} .

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(1,2),(2,3)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(1,3),(3,1)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(2,2),(3,3),(1,2),(2,1)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(2,2),(3,3),(1,2)}

State whether each of the following binary relations on the set A={1, 2, 3} is reflexive, symmetric and transitive R={(1,1),(2,2),(1,2),(2,1)}