I have a parametrical matrix (18x18) which I want to plot its eigenvalues with respect to a parameter. For simplicity, lets assume that it is instead a 3x3 matrix which is not fully numerical but depends on a parameter Y. So that all eigenvalues depend on Y as well. I need to plot all eigenvalues with respect to Y in a single plot (Y in the x-axis). Any suggestions?
In addition, would you please explain if I use Eigenvectors[A] to get eigenvectors (depending on Y), are the result normalized or I need to normalize them myself?
Thank you in advance.