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.
Hello, i don't understand it very well so I searched a web page and I try to do my homework trying to understand all the steps that were in the web page but I don't know if I have done them well.
ReplyDeleteYou can start trying some examples. You´ll find help in the first systems of this link:
ReplyDeletehttp://en.wikibooks.org/wiki/Linear_Algebra/Gauss%27_Method/Solutions
Even though, we can discuss your problems in class.