Hi, i am just studying linear algebra (the final is coming next week, so stressed!).
I think the question about l*conjugate(l) = r^2+s^2 = 1 just mean the length of l is 1
But i think if Matrix with complex entries, say M, is orthogonal means M is unitary. So the length of every eigenvalue...
1. Let AH be the hermitian matrix of matrix A, and how the eigenvalues of AH be related to eigenvalues of A?
[b]3. what I have done is
equation no.1: (AH-r1*I) * x1 = 0,
And equation no.2: (A-r2*I) * x2 = 0
time no.1 both sides by x2H
((A*x2)H-r1*x2H)* x1 = 0
Then we have...