Specifically Discrete Dynamical Systems.
My professor doesn't give us the answers to the homework, and neither does the textbook, so I've mostly been teaching myself how to do the problems and it's worked so far.
I've spent a good 3-4 hours trying to understand this today and I just do not get it.
Classify the origin as an attractor, repeller, or saddle point of the dynamical system x_k+1 = Ax_k. Find the directions of greatest attraction and/or repulsion.
A = [ v1 v2 ] v1 = [.3 -.3] v2 = [.4 1.1]
(how are matricies usually written on a computer? seems awkward to me)
Now, I know you find the eigenvalues, which the book says are the diagonal values of A in echelon form, but using that method on a problem that has an answer in the back does not give me the eigenvalues they say.
I'm going to stare at this problem for a few like an hour more before I go to bed, and hopefully someone can help out by the time I have class tomorrow.
edit: I feel like it's something stupidly easy that I'm just missing.
edit2: ok lol got it just had to subtract eigenvalue of 1 then take the determinant. will just use this thread if I ever come have trouble again.