Hi guys,
I am struggling with finding eigenvectors of a 3x3 matrix in a change of coordinates problem. Basically, I have taken the equation x^2 - z^2 - 4xy +4yz, converted it into matrix [1 -2 0; -2 0 2; 0 2 1] and found the eigenvalues
1
1/2 + sqrt(33)/2 1/2 - sqrt(33)/2 But I am truly struggling with the eigenvectors here. The first one (l=1) is easy, but the other ones not. I plug the eigenvalues in the matrix and using Gauss-Jordan, I only get 1's on the diagonal. But I cannot determine such a vector, as I would think that it is [x1 x2 x3] = [0 0 0].
Help?
