Hey guys, I was hoping you could help with a problem I'm having.

I found from my 3x3 matrix 3 eigenvalues where one is real and the other two are complex. I don't know how to express the general solution for this though and it is the first time I've tried to solve for the GS of a 3x3.

the eiegen vectors are

v_1 = (1, 0, 0)

v_2 = (5/26+i/26, -1/2+i/2, 1)

v_3 = (5/26-i/26, -1/2-i/2, 1)

I haven't put the into vector column form yet but that's pretty straight forward.

Any help is appreciated,

Thanks!