Linear Algebra Problem

The operator T on C^4 has the matrix:

2 1 2 2
0 2 0 -1
0 0 2 1
0 0 0 2

with respect to the standard basis.

(a) Find its characteristic polynomial and its minimal polynomial.
(b) Determine the Jordan normal form of the operator T and a Jordan basis.
更新: 找Jordan Basis時, 為何是選擇[0 0 0 1]^T?
更新 2: 那到最後一步時, Jordan basis的4個vector是如何得出來的? (我對jordan basis實在是太不熟悉...)
1 個解答 1