ntbhi means not to be handed in
Assignment 1. 1. 19/1-8,9-15(ntbhi)
Assignment 2. 1. 35/1-4,6,12
(5,7-9(ntbhi))
Assignment 3. 1. 35/8-11
36/3,14
Do the rest of the problems in Chapter 2 (ntbhi).
59/1,2
Assignment 4. 1. (ntbhi) Read the rest of Chapter 3 and relate
the material to 1-1, onto, dim(V)-dim(N(T))=dim(Range(T)), etc.
2. Do the fake quiz(zes).
3. 59/3,4,do 6 in the case n=2, 7,9-12, do the rest of the exercises
(ntbhi).
Assignment 5. 61/19-25
Assignment 6. 188/5,6,9,10,11(use the ideas we've been using
to prove the Jordan form theorem; look at Prop. 2.19; try n=2 first)
If N is nilpotent (of order q), then I+N is 1-1 (or equivalently,
invertible).
Start reading Chapter 8.
Assignment 7. (Due date: 4/22/09) Write up a proof of the
Jordan canonical form for nilpotent matrices of order 4.