I wasn't really sure where to put this but here seems the most appropriate place.

I have to find eigenvectors corresponding to the eigenvalues of 0 1 and 4 for the following matrix:

0 -8 4

1 3 -1

2 -2 2

I have already found the eigenvevtors corresponding to 0 and 4, but when lamba =1 there is difficulty. Nothing seems to work when i try to equate the values. What is the way around this?

By the way, when lamba=1, the result is as follows:

-1 -8 4 = 0

1 2 -1 = 0

2 -3 1 = 0