# Gaussian elimination

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## 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.
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To solve this system of equation we used a factorization process that lead to the Gauss elimination method.
But it has few modifications over the Gauss elimination method.
The number of arithmetic operations is more in Gauss Jordan method (150) than in Gauss Elimination method (136) since Gauss Jordan method uses backward elimination step.

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