# Week3 - 1 1 2-1-h 1-2 h-2-2 h-3 h Finally subtracting 2...

This preview shows pages 1–5. Sign up to view the full content.

Solutions for Assignment 3 Applied Linear Algebra MATH 232 (Fall 2008) Section 1.5 Section 1.6

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

View Full Document

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

View Full Document
Section 1.7
Assignment 3 Applied Linear Algebra Math 232(Fall 2008) Additional question: For which values of h are the vectors 1 h 2 h , 1 - 1 - 2 , 2 1 h linearly dependent? A1. We form the matrix 1 1 2 h - 1 1 2 h - 2 h Subtracting h times row 1 from row 2 and 2 h times row 1 from row 3, we obtain the matrix:
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 1 2-1-h 1-2 h-2-2 h-3 h Finally, subtracting 2 times row 2 from row 3, we get 1 1 2-1-h 1-2 h-2 + h . To be linearly independent there must be a pivot in every column. If h =-1, there is no pivot in the second column; if h = 2 then there is no pivot in the third column. Thus the answer is h =-2 ,-1. 1...
View Full Document

## This note was uploaded on 06/14/2011 for the course MATH 232 taught by Professor Russel during the Fall '10 term at Simon Fraser.

### Page1 / 5

Week3 - 1 1 2-1-h 1-2 h-2-2 h-3 h Finally subtracting 2...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online