Set A= {1, 2, 3} R1 and R2 is defined from set A R1= {(1, 1), (1, 2), (2, 2), (2, 3), (3, 3)} R2= {(1, 1), (1, 3), (2, 3)} Is R1 and R2 is transitive. Give reason also

A relation on a set is transitive if, when we have (a,b) and (b,c), we have also (a,c).
Hence take R1.. if we take (1,2) and (2,3) .. There is no (1,3). Hence it is non-transitive.
We take R2.. It satisfies the condition. Hence it is transitive.