# Gaussian elimination

(redirected from*Gauss algorithm*)

## Gaussian elimination

[¦gau̇·sē·ən ə‚lim·ə′nā·shən] (mathematics)

A method of solving a system of

*n*linear equations in*n*unknowns, in which there are first*n*- 1 steps, the*m*th step of which consists of subtracting a multiple of the*m*th equation from each of the following ones so as to eliminate one variable, resulting in a triangular set of equations which can be solved by back substitution, computing the*n*th variable from the*n*th equation, the (*n*- 1)st variable from the (*n*- 1)st equation, and so forth.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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