# If A = {–1, 1}, find A × A × A.

Given: A = {–1, 1}
cartesian product of a two sets A and B is given by set of multiplication of every member of the set with every other member of the set. Thus pairs of members of set are formed.
For given A,
A × A = {-1, 1} × {-1, 1}

A × A = {(-1, -1), (-1, 1), (1, -1), (1, 1)}
Now,

By definition A × A × A = {(a,b,c) : a,b,c Є A}.

A × A × A = {(-1, -1, -1), (-1, -1, 1), (-1, 1, -1), (1, -1, -1), (-1, 1, 1), (1, -1, 1), (1, 1, -1), (1, 1, 1)}

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Let's Play the Game of Inequalities52 mins
Introduction To Cell Division60 mins
Cell - The unit of Life - 0268 mins
All about Enzymes | A thorough lecture47 mins
Cell - The unit of Life - 0452 mins
Biomolecules | Check your understanding | Interactive Quiz32 mins
Questions Discussion of Biomolecules48 mins
Cell - The unit of Life - 1056 mins
Cell - The unit of Life - 0561 mins
Interactive Quiz | Cell the unit of life43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses