Econ 519: David Reiley
Due Wednesday, 15 August 2006

Problem Set #11

Since this is the last problem set, I'm assigning four optional problems on the topics of eigenvalues and eigenvectors. If you have time to work on them, I'll be happy to help you with them. These topics may be useful in econometrics in the spring semester. As an added bonus, you'll see that they give us relatively easy ways to check for positive semidefiniteness and negative semidefiniteness in symmetric matrices such as the bordered Hessian.

  1. Problem 30.1.
  2. Problem 30.3.
  3. Problem 30.5.
  4. Problem 30.7.
  5. Problem 30.10.
  6. Problem 30.11.
  7. Problem 30.12.
  8. Problem 30.13.
  9. Problem 30.14.
  10. Problem 30.20.
  11. (optional) Problem 23.2.
  12. (optional) Problem 23.14.
  13. (optional) Problem 23.37.
  14. (optional) Problem 23.47.