[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