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Intro/Procedures for Gauss-Jordan Elimination Method for Solving Systems of Linear Equations

A technique for solving systems of linear equations of any size is the Gauss-Jordan Elimination Method. This method uses a sequence of operations on a system of linear equations to obtain an equivalent system at each stage. An equivalent system is a system having the same solution as the original system.

The operations of the Gauss-Jordan method are:
1. Interchange any two equations.
2. Replace an equation by a nonzero constant multiple of itself.
3. Replace an equation by the sum of that equation and a constant multiple of any oher equation.

The following is an example of a system that is solved using the Gauss-Jordan Method.
2x + 3y = 8
3x - 2y = 4

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