Chapter 1.4 ElementaryMatrices

Proof since e is an elementary matrix there is an

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

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

Unformatted text preview: matrix, there is an elementary row operation that one can perform on In to obtain E . Let E be the elementary matrix obtained by performing the inverse operation on In . EE = In and E E = In (Previous Theorem). E = E −1 . Outline Elementary Matrix Inverse of an Elementary Matrix The Inverse of a Matrix Example Example Demonstrate each inverse operation on I3 after the following elementary row operations are performed on I3 . 1 Multiply row 2 by 3. 2 Interchange rows 2 and 3. 3 Add −2 times row 1 to row 3. Add 2...
View Full Document

This note was uploaded on 02/10/2014 for the course MATH 2270 taught by Professor Kenyonj.platt during the Spring '14 term at Snow College.

Ask a homework question - tutors are online