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Linear equation over a ring
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Mathematics
Fields of mathematics
Algebra
Linear algebra
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A
linear equation
over
a
ring is an expression
of the form
: \[
a
_
1
x
_
1
+
a
_
2
x
_
2
+ \ldots +
a
_
n
x
_
n
=
b
\] where \(
a
_
1
,
a
_
2
, \ldots,
a
_
n
\) and \(
b
\) are elements of
a
ring \(
R\)
, and \(
x
_
1
,
x
_
2
, \ldots,
x
_
n
\) are variables that take values in the ring
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Linear algebra
Algebra
Fields of mathematics
Mathematics
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