homework_3_solutions - MA 265 HOMEWORK ASSIGNMENT #3...

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: MA 265 HOMEWORK ASSIGNMENT #3 SOLUTIONS #1. Page 94; Exercise 1. Find a row echelon form of each of the given matrices. Record the row operations you perform, using the notation for elementary row operations. (a) A = - 1 2- 5 2- 1 6 2- 2 7 (b) A = 1 1- 1 3 4- 1 5 6- 3- 2- 2 2 Solution: (a) Denote r i as the i th row of A . First we find the leading one in the first row: (- 1) r 1 r 1 : A (- 1) r 1 r 1 = 1- 2 5 2- 1 6 2- 2 7 Now we subtract to eliminate the entries in the first column: (- 2) r 1 + r 2 r 2 : A (- 2) r 1 + r 2 r 2 = 1- 2 5 3- 4 2- 2 7 (- 2) r 1 + r 3 r 3 : A (- 2) r 1 + r 3 r 3 = 1- 2 5 3- 4 2- 3 Next we find the leading one in the second row: (- 1 / 3) r 2 r 2 : A (- 1 / 3) r 2 r 2 = 1- 2 5 1- 4 3 2- 3 We use this to find an echelon form: (- 2) r 2 + r 3 r 3 : A (- 2) r 2 + r 3 r 3 = 1- 2 5 1- 4 3- 1 3 (- 3) r 3 r 3 : A (- 3) r 3 r 3 = 1- 2 5 3- 4 1 1 2 MA 265 HOMEWORK ASSIGNMENT #3 SOLUTIONS (b) Denote...
View Full Document

This note was uploaded on 03/11/2010 for the course MA 261A 0026100 taught by Professor ... during the Spring '10 term at Purdue University Calumet.

Page1 / 4

homework_3_solutions - MA 265 HOMEWORK ASSIGNMENT #3...

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