I have

1 1 0

1 1 0

0 0 -1

And i need to find the eigenvalue and eigenvector.

I found the eigenvalue 0, 2 and -1.

then i took B+I

2 1 0

1 2 0

0 0 0

that after beeing reduced is

1 0 0

0 1 0

0 0 0

How can i find the eigenvector from this? its the general solution?