[1 1 1]
[1 1 1]
[1 1 1]
1) why can't i just do guassian elimination to make it
[1 1 1]
[0 0 0]
[0 0 0] then the eigenvalues would be 1, 0
2) if i just do it straight i get
[1-λ 1 1]
[1 1-λ 1]
[1 1 1-λ] and then i get
(1-λ)( (1-λ)(1-λ) - 1 ) - (1)( (1)(1-λ)-1 ) + (1)(1-(1-λ))
and it simplifies to -2 + λ + 3λ^2 - λ^3
how do i get the eigenvalues from here?
thanks