University of Wisconsin-Madison Mathematics Department

Math 340 Elementary Matrix and Linear Algebra Lecturer: Arun Ram

Fall 2007

Homework 4: Due October 3, 2007

1. Define minor and cofactor.
   
   
2. Compute the determinants of the matrices in problems 10, 11, 12 on p.125 by expansion down the first column.
   
   
3. Calculate the cofactor matrix for each of the matrices in problems 10, 11, 12 on p. 125.
   
   
4. Do problem 7 on page 169.
   
   
5. Do problems 3, 5, 7 on page 172.
   
   
6. Make a detailed outline of the course so far.
   
   
7. Make up a 75min Midterm 1 for this course.
   
   
8. Make a list of all vocabulary so far in this class.
   
   
9. Write the definition of each term 3 times.
   
   
10. What are the computational techniques that appeared so far in this course?
    
    
11. Give an example for each type of computation (determinant, row reduction, computing inverse, etc.)
    
    
12. What are the theorems/facts in the course so far?
    
    
13. Write a proof of each theorem/fact which we've had so far in this course. Do each one at least twice.