Gauss-Elimination method

How can I know exactly the number of solution, the exact solution in case of unique solution, the number of free variable in case of infinitely many solutions in Gauss-Elimination process?

[James Tursa]

Are you asking how to calculate this in your own hand-written code? Or are you asking what MATLAB functions (e.g., rank) can be used for this?

[Pham Duc Hieu]

Thank you for letting me know about the information I'm missing. I want to know what function or code line we can use to know the number of solution.

Answer 1

[James Tursa]

See the rank( ) function:

https://www.mathworks.com/help/matlab/ref/rank.html?s_tid=doc_ta