I need to normalize both ψ1 and ψ2 and then find the energy eigenvalues of each.

The given Hamiltonian is

H0 = (1 2 )

(2 -1)

And ψ1 = ( -2 ) ψ2 = ( -2 )

(1-√5) (1+√5)

Ive had a go and i think that the normalization constant is

ψ1 : 1/(10-2√5)^(1/2) and ψ2 : 1/(10+2√5)^(1/2)

(the things in brackets are ent to be matrices and vectors)

please help!!!

Thanks josh