496,796 views
29 votes
29 votes
Determine the elements of the relation A × A if -
A = { 1 , 2 , 3 }​

thankyou ~

User Imbalind
by
2.5k points

1 Answer

10 votes
10 votes

If X and Y are two sets, then X × Y is the Cartesian product of X and Y, which is the set of all pairs (x, y) such that x ∈ X and y ∈ Y.

This means

A × A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}

User Guya
by
2.4k points