Question

what is R inverse {i.e. R to power 1} in relation ? please explain with an example.

Answer 1

A relation R exists between 2 sets A and B and is written ARB. This relation set is a set of ordered pairs (a,b) where a comes from A and b from B. These elements
are related in some way. For example R may be the relationship "father of" The relation includes all ordered pairs (a,b) where a is the father of b.who is the son. The inverse relation would be "son of" and would reverse the order of the ordred pairs, that is instead of (a,b) we will have (b,a) where b is the son of a.
Example: Set A has {Suresh,Ashok,Deepak} and set B has {Nakul, Aneesh , Nandan}
R is the "father of" relation ARB and has elements; {(Ashok,Nakul),(Suresh,Aneesh),(Deepak,Nandan)}
The inverse relation "son of" js R^-1 written as BR^-1A and has elements:{(Nakul,Ashok),(Aneesh,Suresh),(Nandan,Deepak)}
The order of ordered pairs has reversed in the inverse relation