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Gaussian elimination

   Also found in: Wikipedia 0.02 sec.
Gaussian elimination [¦gau̇·sē·ən ə‚lim·ə′nā·shən]
(mathematics)
A method of solving a system ofnlinear equations innunknowns, in which there are firstn- 1 steps, themth step of which consists of subtracting a multiple of themth 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 thenth variable from thenth equation, the (n- 1)st variable from the (n- 1)st equation, and so forth.


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