Homework 1, due Sept 20 at midnight

Homework may be given to me in class or in my office, or left under my office door. Please do not leave homework in my lobby mailbox or send it by email. Please staple all pages together. Late homework will be penalized 20%. Homework will not be accepted more than one week late, except in special circumstances.

Read Lectures 1 through 5 of the text book (Trefethen and Bau), and:
- Give more detailed proofs of Theorems 5.1 and 5.2 (p.33).
  Note as a consequence the relationship between the range of A and the null space of A*.
- Read through all the exercises in Lectures 1 through 5, work through as many as you have time for, and turn in the solutions to any one exercise in each of Lectures 1 through 5 (no more, no less). Clarification of Ex. 1.2.
If you do not know Matlab, start experimenting with it.