Thread: Eigenvalues and eigenvectors?

i been given this 3x3 matrix and can't find the eigenvaules and eigenvectors.

-3	-2	-2
-1	-4	-1
2	4	1

can someone show me how to do it?

Have you found the characteristic equation? It has three small integer solutions. Once you know the three values for the eigenvalue, , find the three independent eigenvectors by solving .