Need help with jordan blocks and jordan canonical form linear algebra. Thankyou for explaining. 6) Suppose that an operator T on a complex vector space has characteristic polynomialt3 (t – 2)5 (t + 1)² and minimal polynomial of the form t2(t – 2)³(t + 1)². Also suppose thatdim R(T – 21) = 7, and that the eigenspace corresponding to -1 is 1-dimensional, sodim W_1-1. Find the Jordan blocks of the Jordan canonical form of T. Justify your answer.

Answered: Image /qna-images/answer/7db318e5-619e-4c21-a20d-512bebfd27fb.jpg

6) Suppose that an operator T on a complex vector space has characteristic polynomial t3 (t – 2)5 (t + 1)² and minimal polynomial of the form t? (t – 2)3 (t + 1)². Also dim R(T – 21) = 7, and that the eigenspace corresponding to -1 is 1-dimensional, so dim W-1 suppose that %3D = 1. Find the Jordan blocks of the Jordan canonical form of T. Justify your answer.