Math225Quiz5 - A = 2 1-2-1-1 2 1-1 2 This matrix is not...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 225, Fall 2010 Quiz 5 Given an n × n matrix A , we know that the following are equivalent: a) A is invertible (i.e. it has an inverse matrix A - 1 ), b) Whenever A v = 0 , we know that v = 0 . c) For any b , there exists v such that A v = b . Now consider the specific matrix
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A = 2 1-2-1-1 2 1-1 2 This matrix is not invertible. So b) and c) both fail to hold. Give explicit numerical examples to show that both b) and c) fail to hold....
View Full Document

This note was uploaded on 01/26/2012 for the course MATH 225 taught by Professor Lee during the Fall '08 term at University of Illinois, Urbana Champaign.

Ask a homework question - tutors are online