Question

What is the cartesian product of a={1,2} and b={a,b}?

Answer 1

Firstly, what is ordered pair?

A pair of objects written in a particular order is called an ordered pair.

For Example, (1,3)=(1,3)

\textbf{What is Cartesian Product of two sets ?}What is Cartesian Product of two sets ?

Cartesian product of two sets A and B is the set of all those ordered pairs whose first coordinate is an element of A and the second coordinate is an element of B.

It is denoted by A × B and is real as ' A cross B '.

For example, Let A ={1,2,3}, B={3,5}

Then, A × B = {1,2,3}×{3,5}

= {(1,3),(1,5),(2,3),(2,5),(3,3),(3,5)}

$\textbf{Now, your question ^^"}$

a × b = {(1,a),(1,b),(2,a),(2,b)}

Answer 2

Step-by-step explanation:

Firstly, what is ordered pair?

A pair of objects written in a particular order is called an ordered pair.

For Example, (1,3)=(1,3)

\textbf{What is Cartesian Product of two sets ?}What is Cartesian Product of two sets ?

Cartesian product of two sets A and B is the set of all those ordered pairs whose first coordinate is an element of A and the second coordinate is an element of B.

It is denoted by A × B and is real as ' A cross B '.

For example, Let A ={1,2,3}, B={3,5}

Then, A × B = {1,2,3}×{3,5}

= {(1,3),(1,5),(2,3),(2,5),(3,3),(3,5)}

\textbf{Now, your question ^^"}

a × b = {(1,a),(1,b),(2,a),(2,b)}