Gaussian elimination
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Revision as of 07:40, 27 September 2005
Gauss Elimination
We consider the system of linear equations 
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![\left[
\begin{matrix}
{a_{11} } & {a_{12} } & {...} & {a_{1n} } \\
{a_{21} } & {a_{22} } & . & {a_{21} } \\
. & . & . & . \\
{a_{n1} } & {a_{n1} } & . & {a_{nn} } \\
\end{matrix}
\right]
\left[
\begin{matrix}
{x_1 } \\
{x_2 } \\
. \\
{x_n } \\
\end{matrix}
\right]
=
\left[
\begin{matrix}
{b_1 } \\
{b_2 } \\
. \\
{b_n } \\
\end{matrix}
\right]](/W/images/math/6/7/7/677a1968347218633c4702a422ca4c2a.png)
