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## Homework Statement

I have to find for which "a" an eigenvalue for the following system is 0.

The system:

1 -1 1

-1 2 -2

0 a 1

## Homework Equations

My characterstic equation:

(1-λ)(2-λ)(1-λ)+2a -(1-λ) -a = 0

## The Attempt at a Solution

I then proceed:

(1-λ)(λ

^{2}-3λ-2+a) = 0

but then i'm kind of clueless.. Now what?