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