An
inverse relation is a relation that interchanges the and values of a specific . In other words, it is the relation that
undoes a certain relation. Consider the that shows a relation
p that takes from
A and returns elements from set
B.
The relation that
undoes p is
q. In this case,
q takes elements from set
B and returns elements from set
A. Relations can also be represented by a collection of . Here, the inverse of a relation is obtained by interchanging the elements of the ordered pairs of the original relation.
Relation p{(-1,C),(0,E),(5,Z),(10,W),(20,Q)}Inverse Relation q{(C,-1),(E,0),(Z,5),(W,10),(Q,20)}
Graphically, the inverse of a relation is a across the
y=x.
If the inverse relation of a is also a function, then it is called an .