Question

What is the meaning of cartesian product?

Answer 1

In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.

Answer 2

$\textbf{Firstly, what is ordered pair? }$

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

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

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

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)}