hwk8 - Homework #8 Due Friday 03/14 or Monday, 03/17 Define...

Info iconThis preview shows pages 1–2. 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: Homework #8 Due Friday 03/14 or Monday, 03/17 Define the n × n matrix A n and the n × 1 vector b n A n = - 2 1 . . . 1- 2 1 . . . 1- 2 1 . . . 1- 2 1 . . . . . . . . . . . . . . . . . . . . . . . . 1- 2 1 . . . 1- 2 b n = 3 3 3 3 . . . . . . . . . 3 3 For example, A 6 = - 2 1 1- 2 1 1- 2 1 1- 2 1 1- 2 1 1- 2 A 6 = 3 3 3 3 3 3 The goal of this homework will be to solve A n x = b n for large n and study how long it takes for the computer to do so. Remark : The matrix A n occurs, for example, when one want to solve the heat equation on a rode. The solution of Ax = b will be the heat distribution on the rode: x ( i ) will be the temperature at the node...
View Full Document

This note was uploaded on 10/28/2010 for the course MATH 135A taught by Professor Thomas during the Spring '10 term at UC Riverside.

Page1 / 2

hwk8 - Homework #8 Due Friday 03/14 or Monday, 03/17 Define...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online