Cartesian Product

21-01-26–21-06-12

      • Definition

      The cartesian product of two sets \(A\) and \(B\) is the set of all ordered pairs with the first element from \(A\) and the second element from \(B\).

      Notation

      The cartesian product of \(A\) and \(B\) is denoted by

      \[ A \times B = \{ (a,b) \mid a \in A\ \text{and}\ b \in B \} \]