Eigenvalues and eigenvectors.

If I am asked to find the eigenvalue and eigenvector of matrix
-2 2 3
-2 3 2
-4 2 5

Can I reduce to row echelon form so that I have two zero's in Row 3 to make my calculation simpler?

Question

Eigenvalues and eigenvectors.

If I am asked to find the eigenvalue and eigenvector of matrix
-2  2  3
-2  3  2
-4  2  5

Can I reduce to row echelon form so that I have two zero's in Row 3 to make my calculation simpler?

loser66 · Answer

nope, just keep it there and find the characteristic equation
it should be $\lambda^3 -6\lambda^2+11\lambda -6  =0$

loser66 · Answer

and the root is $\lambda_1 = 1$, $\lambda_2 =2$, and $\lambda_3 =3$
I think you can step up from here.