Im supposed to find the canonical form and corresponding change of coordinates for a few linear operators, heres two:

0 1 0

0 0 1

-1 -3 -3

2 1 1 -2

1 2 1 -2

1 1 2 3

3 3 3 5

I know im supposed to find the eigenvalues and vectors by finding detA = 0 for the characteristic equation then the roots, but I just am stuck when it comes to finding the equation from the matrixes.

Following from that im unsure of what to do after I plug back in lambda into the matrix...