If relation `R` is defined from `A` to `B` then the inverse relation would be defined from `B` to `A`, i.e
`R : A-> B => a R b` where `a in A, b in B`
`R^-1 : B ->A => b R a` where `a in A, b in B`
Here Doman of `R =` Range of `R^-1`
and Range of `R =` Domain of `R^-1`
` :. R^-1 = {(b, a) | (a, b) in R}`
`A` relation `R` is defined on the set of `1^(st)` ten natural numbers.
e.g. `N` is a set of first `10` natural nos ` :. N = {1 , 2, 3, ... , 10}` & `a, b in N`
`a R b => a + 2 b = 10`
`R = {(2, 4), (4, 3), (6, 2), (8, 1)}`
`R^-1 = {(4, 2), (3, 4), (2, 6), (1 , 8)}`
If relation `R` is defined from `A` to `B` then the inverse relation would be defined from `B` to `A`, i.e
`R : A-> B => a R b` where `a in A, b in B`
`R^-1 : B ->A => b R a` where `a in A, b in B`
Here Doman of `R =` Range of `R^-1`
and Range of `R =` Domain of `R^-1`
` :. R^-1 = {(b, a) | (a, b) in R}`
`A` relation `R` is defined on the set of `1^(st)` ten natural numbers.
e.g. `N` is a set of first `10` natural nos ` :. N = {1 , 2, 3, ... , 10}` & `a, b in N`
`a R b => a + 2 b = 10`
`R = {(2, 4), (4, 3), (6, 2), (8, 1)}`
`R^-1 = {(4, 2), (3, 4), (2, 6), (1 , 8)}`