A={1,2,3,4}, THEN R={(1,2),(1,3),(3,3),(3,1)} IS A __________

The given set R is a relation on set A.

To determine the type of relation, we need to check for certain properties:

1. Reflexive: A relation R on a set A is said to be reflexive if every element of set A is related to itself. In other words, for all a in A, (a, a) must be in R. Here, (2,2) and (4,4) are missing. So, R is not reflexive.

2. Symmetric: A relation R on a set A is said to be symmetric if for every (a, b) in R, (b, a) is also in R. Here, (1,2) is in R but (2,1) is not in R. So, R is not symmetric.

3. Transitive: A relation R on a set A is said to be transitive if for every (a, b) in R and (b, c) in R, (a, c) is also in R. Here, (1,2) and (2,3) are in R but (1,3) is not in R. So, R is not transitive.

4. Antisymmetric: A relation R on a set A is said to be antisymmetric if for every (a, b) in R where a ≠ b, (b, a) is not in R. Here, (1,3) and (3,1) are in R. So, R is not antisymmetric.

Therefore, the given relation R is not reflexive, not symmetric, not transitive, and not antisymmetric. It is just a relation with no specific properties.