This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: MATH 21001  Spring 2010  Homework 5 Hassan Allouba Problem 1 When possible, find the inverse of each of the following matrices. Check your answer by using matrix multiplication. (a) 4 8 5 4 7 4 3 4 2 (b) 1 1 1 1 1 2 2 2 1 2 3 3 1 2 3 4 Problem 2 Find the matrix X such that X = AX + B , where A =  1 1 and B = 1 2 2 1 3 3 . Problem 3 Answer each of the following questions: (a) Under what conditions is a diagonal matrix nonsingular? Describe the structure of the inverse of a diagonal matrix. (b) Under what conditions is a triangular matrix nonsingular? Describe the structure of the inverse of a triangular matrix. Problem 4 If A is nonsingular and symmetric, prove that A 1 is symmetric. 1 Problem 5 For matrices A r × r , B s × s , and C r × s such that A and B are nonsingular, verify that each of the following is true....
View
Full
Document
This note was uploaded on 04/22/2010 for the course MATH 21001 taught by Professor Staff during the Spring '08 term at Kent State.
 Spring '08
 Staff
 Linear Algebra, Algebra, Multiplication, Matrices

Click to edit the document details