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