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Solving Ax = 0 (non-trivially)

Thanks for all the help so far. I'm new to SageMath and am trying to get my head around it.

I have a system of equations of the form...

Ax = 0

where A is a symbolic matrix filled with many trig functions and such. If I ask SageMath to "solve_right", it gives me a vector result of x=0 (duh). But, of course, that's not what I want. How do I get it to look for a non-trivial solution? Thanks, Eric