Let T: R3 -> R3 be the linear operator that has the matrix A

4 -1 -1

0 2 0

4 -3 0

relative to the standard basis of R3.

(a) Find a basis b of R3 such that the matrix of T relative to b is J, the Jordan canonical form of A.

(b) Determine the matrix J.

p.s. what is jordan canonical form?