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# Difference between Gauss Elimination Method and Gauss Jordan Method | Numerical Method

• Difficulty Level : Hard
• Last Updated : 10 Jan, 2023

Gauss Elimination Method:

Gauss Elimination Method is one of the most widely used methods. This method is a systematic process of eliminating unknowns from the linear equations. This method is divided into two linear equations:

• Triangularization Method
• Back Substitution Method

Gauss Jordan Method:

Gauss Jordan Method is a little modification of the Gauss Elimination Method. Here, during the stages of elimination, the coefficients are eliminated in such a way that the systems of equations are reduced to a diagonal matrix. The very first method of the Gauss Jordan Method involves the elimination of the first variable i.e. x from all the equations except the first equation. Then it eliminates the second variable i.e. x2 from all the equations except the second equation and so on proceeding in this manner, finally we eliminate the last variable i.e. in from all the equations except the last equation.

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