NCERT Class XI Mathematics - Relations and Functions - Solutions
© examsnet.com
Question : 5
Total: 36
If A = {–1, 1}, find A × A × A.
Solution:
If A = {–1, 1}
Then, A × A = {–1, 1} × {–1, 1} = {(–1, –1), (–1, 1), (1, –1), (1, 1)}
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, –1), (1, –1, 1), (1, 1, –1), (1, 1, 1)}.
Then, A × A = {–1, 1} × {–1, 1} = {(–1, –1), (–1, 1), (1, –1), (1, 1)}
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, –1), (1, –1, 1), (1, 1, –1), (1, 1, 1)}.
© examsnet.com
Go to Question: