If \(A=\{1,2,4\}\) and \(B=\{1,2,3\}\), Represent \(A\times B\) Graphically
Question
If \[ A=\{1,2,4\} \] and \[ B=\{1,2,3\}, \] represent the set \[ A\times B \] graphically.
Solution
The Cartesian product \(A\times B\) is the set of all ordered pairs \((a,b)\) where
\[ a\in A \]
and
\[ b\in B. \]
Given:
\[ A=\{1,2,4\} \]
\[ B=\{1,2,3\} \]
Therefore,
\[ A\times B= \{ \]
\[ (1,1),(1,2),(1,3), \]
\[ (2,1),(2,2),(2,3), \]
\[ (4,1),(4,2),(4,3) \} \]