2.Relations and Functions
easy

If $A=\{-1,1\},$ find $A \times A \times A.$

Option A
Option B
Option C
Option D

Solution

If is known that for any non-empty set $A, A \times A \times A$ is defined as

$A \times A \times A=\{(a, b, c): a, b, c \in A\}$

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

$\therefore A \times A \times A=\left\{\begin{array}{l}(-1-1,-1),(-1,-1,1),(-1,1,-1),(-1,1,1), \\ (1,-1,-1),(1,-1,1),(1,1,-1),(1,1,1)\end{array}\right\}$

Standard 11
Mathematics

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