Question

20 pts> You = Brainliest but PLEASE GUYS, solve this only if you can... if A={a,b} and B={1,2,3}, find A*B and B*A

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

Let A & B be any two non empty sets

Then the Cartesian product of A & B is denoted by

A × B and defined as :

$A × B = \{ \: (x , y \: ) \: : \: x \in \: A \: , \: y \in \: B \}$

GIVEN

$A= \{ \: a,b \} \: \: and \: \: B = \{1,2,3 \}$

TO DETERMINE

$A \times B \: \: and \: \: B \times A$

EVALUATION

So

$A \times B = \{ \: (a, 1), (a, 2), (a, 3), (b, 1),(b,2),(b,3)\: \}$

$B \times A = \{(1,a),(1,b),(2,a)(,(2,b),(3,a),(3,b) \}$