MATLAB question: using "solve" and getting rid of arbitrary parameters
I am trying to solve a system of equations whose answer will depend on arbitrary values.
For example, consider the following system of 2 equations and 3 unknowns:
this gives me an answer that depends on an arbitrary value z. (infinitely many solutions).
syms x1 x2 x3
A=[a.x1 a.x2 a.x3]
I would like MATLAB to directly give me an answer (with no arbitrary values). So for instance, I would like to get an answer where the x1 value is positive. Is there a way to do that?
I am using "solve" in a subroutine, and after that, I would like to test the answer to see if it is a non negative array. But whenever the code reaches the answer, it tells me there is an error (obviously) because of the unknown parameter.