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:
- (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.).
- (3 points)
Exercise 23 Sec. 3.8, page 256
( = Exercise 23 Sec. 2.7, page 205 5th Ed.).
- (3 points)
Exercise 25 Sec. 3.8, page 256
( = Exercise 25 Sec. 2.7, page 205 5th Ed.).
- (3 points)
Exercise 26 Sec. 3.8, page 256
( = Exercise 26 Sec. 2.7, pages 205-206 5th Ed.).
- (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