matrix A

2 0 0

0 2 0

1 1 3

eigen value #1 = 2

eigen vector #1 is

-1

1

0

eigen value #2 = 2

eigen vector #2 is

-1

0

1

eigen value #3 = 3

eigen vector #3 is

I cannot find this because I get this matrix after substituting llamda into the original matrix along the diagonal

-1 0 0

0 -1 0

1 1 0

I am stuck here. Please help.