Oh! Now I see that the eigenvectors are the same. Thanks! Nevertheless, I still don't get the thing with the eigenvalues.
eig(A)
l =
3.2247 0
0 0.7753
eig(inv(A))
l_i =
1.2899 0
0 0.3101
inv(l)=
0.3101 0
0 1.2898
I expected l_i == inv(l) but their positions (1,1) and (2,2) are swapped. Am I missing something?
Thanks again!