Math 232 Homework Assignment 03

- Due 4:30 PM Monday, January 31st 2000

Of the handwritten exercises, only the ones shown in boldface are to be handed-in. All others are strongly recommended but not to be handed-in. Maple exercises are to be done on the computer, printed-up, and stapled to the end of your handwritten work. Solutions to all these problems will be posted after the assignment is due.

Section 1.4, pages 70 - 71:
- 32, 34, 36, 38, 42, 50, 54
Section 1.5, pages 84 - 87:
- 4, 6, 12, 18, 22, 26, 32, 38(a)
Section 1.6, pages 99 - 101:
- 4, 8, 12, 18, 24, 26, 32, 36
Maple Exercises:
Staple these Maple Exercises to the end of all your handwritten work.
- Sections 1.4 and 1.5
  (See the posted Using Elementary Matrices in Maple and Finding the Inverse of a Matrix in Maple.)
  1. Make a random 3 by 3 matrix, with the random number generator seeded to your student ID number (all 9 digits), using the following commands:
    
    > with(linalg):
    
    > readlib(randomize);
    
    > randomize(981234567);
    Note: Use your own student ID number here, not "981234567"!
    
    > A:=matrix(3,3,rand(-5..5));
  2. Find the inverse of "A" using Maple's "inverse" command.
  3. Find the inverse of "A" in Maple using the Gauss-Jordan method.
  4. Now do #3 showing all the Elementary Row Operations in Maple.
  5. Use #4 to express "A" as a product of Elementary Matrices in Maple.

SFU / Math & Stats / ~hebron / math232 / assignments / assgt03.html

Revised 25 January 2000 by John Hebron.