Which of the following statement is false?

Options

A. The identity relation `I_(A)` on a non-empty set A is always a reflexive relation on A.
B. A reflexive relation on a non-empty set A is not necessarily the idenitity relation on A.
C. Suppose a relation R is defined on the set A={1,2,3} as follows :
R ={( 1,2), (3,2), (2,1), (1,1)}
Then R is a transitive relation on A.
D. If X={a,b,c} and Y={c,a,b} then `XxxY=YxxX`

Answer

C