Re today's discussions - and next week

- time: will ask tomorrow
- anything else: please forward to contact students by end of the day.

Problems for next week will be posted tomorrow, and will most likely include
1-05, 1-06 and 1-07, and besides 1-03(b) which I have already assigned but did not review. Furthermore: 
Let A be symmetric. Show that the value of the problems min/max x'Ax subject to x'x = 1, is, respectively, the smallest and largest eigenvalue.
Let A be neg.def., p an integer and A^p a power of A. Show that if p is odd and positive, then A^p is neg.def; decide if the same thing holds if p is even and positive, or if p is odd and negative. (Here, A^-p = (A^-1)^p = (A^p)^-1 for all positive or negative integers p.)