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481 bytes added ,  15:08, February 21, 2010
first basic theorem
''Linear equations''', or "linear systems," are sums of variables, each multiplied by a coefficient, which may be set equal to a constant. Examples of non-linear equations are polynomials and trigonometric functions.

Basic theorems relating to linear equations include:

* there is a unique solution to a linear system of ''n'' equations in ''n'' variables if and only if the [[rank]] of the [[coefficient matrix]] is ''n''.


[[Category:linear algebra]]
[[Category:mathematics]]
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