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Standard XI
Mathematics
NCERT
Question
If
=
A
{
−
1
,
1
}
then find
A
×
A
×
A
.
Open in App
Solution
Verified by Toppr
It is known that for any non-empty set
A
,
A
×
A
×
A
is defined as
A
×
A
×
A
=
{
(
a
,
b
,
c
)
:
a
,
b
,
c
∈
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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