Question

difference between identity relation and anti-symmetric relation??​

Answer 1

Answer:

Reflexive Relations may also contain (a,b) ordered pairs along with all (a,a) ordered pairs but Identity Relations can only contain (a,a) ordered pairs. Identity Relations may not contain all (a,a) ordered pairs but Reflexive Relations must contain all (a,a) ordered pairs.

Step-by-step explanation:

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Answer 2

Answer:

A reflexive relation contains every ordered pair (a,a) such that a€A. But this doesn't mean that it shouldn't contain an ordered pair (a,b) such that a,b€A.

For example if A={1,2,3,4},

A relation R=({1,1},{2,2},{3,3},{4,4},{2,3},{1,4}) is a reflexive relation since it contains the ordered pairs (a,a) as given in condition. So a reflexive relation is a relation which must contain an ordered pair (a,a) and can certainly contain some other ordered pair (a,b) for a,b€A.

An identity relation on the other hand should contain only the elements (a,a) for a€A