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If a = {–1, 1}, Non-empty Set Find a × a × A. - Mathematics

Sum

If A = {–1, 1}, find A × A × A.

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Solution

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

A × A × A = {(abc): ab∈ A}

It is given that A = {–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)}

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 2 Relations and Functions
Exercise 2.1 | Q 5 | Page 33
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