When you wanna solve the x` = Ax system using eigenvalue method and A is a 2x2 matrix. The question is as follows: If you are in the complex case, where ur eigen value is a complex conject, say, -/+4i. At this point, you can only pick one - or + to find the eigenvector, if you pick either, should the final answer be the same? When you combine X1 and X2 as seen in picture.
Not sure what you mean tbh