Homework 2 - due Wednesday, June 25, in class

Each problem is worth 10 points.

The following problems are from the textbook:

section 2.5: #9, #25
section 2.6: #28
section 2.7: #30
section 3.1: #20
section 3.2: #22
section 3.3: #26
section 3.4: #5, #23

Additionally, solve the following problem:
Prove that if A is an invertible n by n matrix and v is a non-zero n dimensional vector then the angle between v and A*(A^T)*v is always acute (less than 90 degrees).
Hint: use (6) on page 97.