# Gauss Elimination Method

The Gauss elimination method is to transform a system of equations into an equivalent system that is in triangular form.

To facilitate the calculation, transform the system into a matrix and place the coefficients of the variables and the independent terms into the matrix (separated by a straight line).

#### Example:

3x | +2y | + z | = | 1 | |

5x | +3y | +4z | = | 2 | |

x | + y | - z | = | 1 |

Change the position of row 3 to where row 1 is and shift the other rows down accordingly:

Subtract row 2 by three times the value of row 1 and subtract row 3 by five times the value of row 1.

Subtract row 3 by twice the value of row 2.

Examples:

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