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Algebra Examples
Step-by-Step Examples
Algebra
Number Sets
Find the Cartesian Product of A * B
A
=
(
0
,
1
,
2
)
A
=
(
0
,
1
,
2
)
,
B
=
(
1
,
2
,
3
)
B
=
(
1
,
2
,
3
)
Step 1
The cartesian
product
of two
sets
is the
set
of all possible
ordered pairs
whose first component is a member of the first
set
and whose
second
component is a member of the
second
set
.
{
{
0
,
1
}
,
{
0
,
2
}
,
{
0
,
3
}
,
{
1
,
1
}
,
{
1
,
2
}
,
{
1
,
3
}
,
{
2
,
1
}
,
{
2
,
2
}
,
{
2
,
3
}
}
{
{
0
,
1
}
,
{
0
,
2
}
,
{
0
,
3
}
,
{
1
,
1
}
,
{
1
,
2
}
,
{
1
,
3
}
,
{
2
,
1
}
,
{
2
,
2
}
,
{
2
,
3
}
}
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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