ws10 - Math 464, Worksheet 10 The goal in this worksheet is...

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: Math 464, Worksheet 10 The goal in this worksheet is to compute a high power of a matrix. For example, bracketleftbigg . 95 . 1 . 1 . 89 bracketrightbigg 500 The process involves eigenvalues and eigenvectors , which I will define by example as they come up, and them more formally in the next worksheet. Part I. The first stage is to solve the system of two equations bracketleftbigg . 95- . 1 . 1 . 89- bracketrightbigg bracketleftbigg x y bracketrightbigg = bracketleftbigg bracketrightbigg for the three variables x , y and . Thats more than 2 variables, so we dont use normal algebra to solve this. Instead: Any solution with x = 0 and y = 0 is forbidden. Other solutions exist if and only if the determinant of bracketleftbigg . 95- . 1 . 1 . 89- bracketrightbigg is zero. Therefore: 1. Solve the equation ( . 95- )( . 89- )- ( . 1)( . 1) = 0 Each solution is called an eigenvalue ....
View Full Document

This note was uploaded on 10/12/2011 for the course MATH 464 taught by Professor Dougbullock during the Fall '08 term at Boise State.

Page1 / 3

ws10 - Math 464, Worksheet 10 The goal in this worksheet is...

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