I am trying to work out some Matrix questions in advance to my course start.

I am trying to find the eigenvalues for this 3 x 3 Matrix:

5 3 2

1 4 6

9 7 3

So far I have got to:

L=Lambda

5-L ... 3 ... 2

1 ... 4-L ... 6

9 ... 7 ... 3-L

I am not sure where to go next - Can anybody help?

Thanks,

Chris