So I have original matrix

2 2 -2

0 1 0

0 0 1

with eigen values 2, 1, 1

i can find the eigen vector for the llamda 1 which is

2

0

1

and

-2

1

0

but I cannot find the eigen vector for value 2

I get this matrix

0 2 -2

0 -1 0

0 0 -1

Please help.