I need to determine Eigen vectors for the following matrix

0 -1 4

3 1 -1

2 1 -2

When I place the lambdas on diagonal row and calculate the Det A - Lambda I

I am getting (-) lambda^3 - lamda^2 + 2 lamda = 0

Therefore the only eigenvalue I get is lamda = 1

Could someone please tell me if I am correct or not? Thanks Frostking