# What is Gauss-Jordan elimination?

##### 1 Answer

Gauss-Jordan elimination is a technique for solving a system of linear equations using matrices and three row operations:

- Switch rows
- Multiply a row by a constant
- Add a multiple of a row to another

Let us solve the following system of linear equations.

by turning the system into the following matrix.

by switching Row 1 and Row 2,

by multiplying Row 1 by -3 and add it to Row 2,

by multiplying Row 2 by

by multiplying Row 2 by -2 and add it to Row 1,

by turning back into a system of equations,

which is the solution of the original system.

I hope that this was helpful.