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

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

View Full Document Right Arrow Icon
Solutions for Assignment 3 Applied Linear Algebra MATH 232 (Fall 2008) Section 1.5 Section 1.6
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Section 1.7
Background image of page 4
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:
Background image of page 5
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

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 Right Arrow Icon
Ask a homework question - tutors are online