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**Frostking** I need to determine for what values of "a" the system will have nontrivial solutions.

I know that nontrivial means that both values of x and y can not be zero.

I am able to, by trial and error, determine values of "a" which provide nontrivial solutions. But, I am sure that I am suppose to come up with a systematic method to determine this. Since I am in a matrices and power function class, I am sure I am not suppose to just use my current method.

My system I am currently working on is:

(1- a)x + 2y = 0

3x + (2 - a)y = 0

Any help would be much appreciated. Frostking