Hiya,

Algebra exam coming up on Wednesday, and I'm stumped on how to get the egenvalues of a 3x3 matrix. I think I did them about 2 years ago, and they're gone completely out of my head.

Given: $\displaystyle A={\left(\begin{array}{ccc}2&4&0\\4&2&3\\0&3&2\end {array}\right)}$

I know the eigenvalues comes out as $\displaystyle \lambda={2},{-3},{7}$ .

I know you subtract $\displaystyle {\lambda}$ from the diagonal line at first, but then where do you go with it? I would really appreciate it if you could show step-by-step work. Thanks

Jo