Two systems of linear equations are equivalent if they have the same solutions set.
In order to get an equivalent system we do elementary operations. That means that we can:
In the Gaussian Elimination Method for solving a system of linear equations we´ll try to get an equivalent system in a triangular form and after that, we´ll obtain the solutions by back substitution.
- Interchange two equations
- Multiply an equation by a non zero constant
- Add a multiple of one equation to another equation
In the Gaussian Elimination Method for solving a system of linear equations we´ll try to get an equivalent system in a triangular form and after that, we´ll obtain the solutions by back substitution.
