If A = {- 1, 1}, find A x A x A

Solution:

It is known that for any non-empty set A,

A x A x A is defined as

A x A x A = {(a, b, c) : a, b, c ∈ A}

It is given that A = {- 1, 1}

Therefore,

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)}

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.1 Question 5

If A = {- 1, 1}, find A x A x A

Summary:

A set A = {- 1, 1} is given. We have found that 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)}