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...