M21001-HW5-2010

M21001-HW5-2010 - MATH 21001 - Spring 2010 - Homework 5...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the 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

Page1 / 4

M21001-HW5-2010 - MATH 21001 - Spring 2010 - Homework 5...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online