1. Show which of the following have Jordan canonical form equal to Q = [0 1 0] 000 lo o ol [0 1 1] [001] 0 0 11 (a) 000 (b) 0 0 Lo o o 1 Lo 0 0 (c) 0 0 0 Lo o ol (d) 0 0 1 Lo 0 0 2. Determine the definiteness of the following matrices 1 0 (243) (a) 2 4 5 (b) (46) (c) (34) (1) 5 6/ (9) [3 1 3. Let T be the operator on R whose matrix representation is 22 determine (a) The characteristic polynomial of T (b) The minimal polynomial of T [22 (c) The eigenspace A corresponding to the smaller eigenvalue of T -