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Gaussian elimination
In mathematics, Gaussian elimination (not to be confused with Gauss–Jordan elimination), named after Carl Friedrich Gauss, is an algorithm in linear algebra for determining the solutions of a system of linear equations, for determining the rank of a matrix, and for calculating the inverse of an invertible square matrix. Formally, the Gaussian elimination algorithm takes an arbitrary system of linear equations as input and returns its solution vector, if it exists and is unique.
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