Written Assignment 8 -- Due 9:30 a.m. Thursday, November 2 at the beginning of class
CS 3511 Fall Semester, 2006
15 Points
Topics: Matrices, Proof Strategy, Sequences & Summations, Math Induction

Reading assignment:
Section 3.8 (matrices), Sections 1.7 and 3.5 (proof strategies, conjectures), Section 2.4 (sequences and summations), and Sections 4.1 and 4.2 (math induction) ( = Sections 2.7 of Chapter 2, and Sections 3.1, 3.2, and 3.3 of Chapter 3 of the 5th Edition)

Written assignment:

  1. (3 points) Show that if A1, A2, ..., An are invertible matrices that
    (A1A2...An)-1 = An-1An-1-1...A2-1A1-1
    i.e. that the inverse of the product of matrices is the product of the inverses in reverse order.
    This is a generalization of Exercise 21, page 256 ( = Exercise 21, page 205 5th Ed.).
  2. (3 points) Exercise 23 Sec. 3.8, page 256 ( = Exercise 23 Sec. 2.7, page 205 5th Ed.).
  3. (3 points) Exercise 25 Sec. 3.8, page 256 ( = Exercise 25 Sec. 2.7, page 205 5th Ed.).
  4. (3 points) Exercise 26 Sec. 3.8, page 256 ( = Exercise 26 Sec. 2.7, pages 205-206 5th Ed.).
  5. (3 points) Exercise 27 Sec. 3.8, page 256 ( = Exercise 27 Sec. 2.7, page 206 5th Ed.).



Page URL: http://www.d.umn.edu /~ddunham/cs3511f06/assignments/a8/assignment.html
Page Author: Doug Dunham
Last Modified: Monday, 23-Oct-2006 17:38:36 CDT
Comments to: ddunham@d.umn.edu