hw9s - MATH 4377 ADVANCED LINEAR ALGEBRA SUMMER 2011 Key to...

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 4377, ADVANCED LINEAR ALGEBRA, SUMMER 2011, Key to HW#9 Note : All the problems below are related to Theorem 3.16 on Page 191. So please read the understand Theorem 3.16 before doing the following home- work. 1. Problem 5 Page 196. Solution . By Theorem 3.16, the third column of A is 2 1- 1 3 - 5 - 1 1 = 2 3 1 . The fifth column of A is- 2 1- 1 3 - 3 - 1 1 + 6 1- 2 = 4- 7- 9 . Hence A = 1 2 1 4- 1- 1 3- 2- 7 3 1 1- 9 . 2. Problem 7 on Page 197. Solution . 2 1- 8 1- 3- 3 4 12 37- 5 1- 2- 4- 17 8 -→ 1- 2- 4- 17 8 5 35- 19- 2 14- 19 -→ 1 0- 4- 31 27 0 1- 7 19 / 2 0 0 70- 133 / 2 -→ 1 0- 4 0 * 0 1 * 0 0 1- 133 / 140 So { u 1 , u 2 , u 4 } is a basis for R 3 . 1 3. Problem 9 on Page 197. Solution . 1 2 1- 1- 1 2 1- 2 2 1 3 9 4- 1 -→ 1 3 9 4- 1 0 1 2 1- 1 0 0 0- 3 6 So { u 1 ,u 2 ,u 4 } is a basis for W....
View Full Document

This note was uploaded on 02/21/2012 for the course MATH 4377 taught by Professor Staff during the Summer '08 term at University of Houston.

Page1 / 5

hw9s - MATH 4377 ADVANCED LINEAR ALGEBRA SUMMER 2011 Key to...

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