EE 6100 Homework Assignment #1

Due October 2, 1997

 

 

1. The course Web pages contain a lot of useful information about this class. Please read them carefully. To encourage you, I have intentionally inserted a typo in one of my Web pages (that is, one I wrote and stored in the /users/bonnie/EE6100/ folder as opposed to another Georgia Tech link). Your first assignment is to find that typo!

2. Problem 4.33 Show that every real, square matrix A can be written as the sum of a symmetric matrix and a skew-symmetric matrix.

3. Problem 4.34 Let be a column of errors in a multivariable control system. Show that the sum of the squares of the errors can be written in several forms, .

4. Problem 4.38 Find the inverses of


5. Problem 4.39 Find the Laplace Transform of


6 Problem 3.23 Describe the circuit in state variable form.