Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Assignment - Predator Prey Linear Dynamical Systems | MATH 317, Assignments of Linear Algebra

Material Type: Assignment; Class: THRY LINEAR ALGEBRA; Subject: MATHEMATICS; University: Iowa State University; Term: Spring 1998;

Typology: Assignments

Pre 2010

Uploaded on 09/02/2009

koofers-user-kvy
koofers-user-kvy 🇺🇸

3

(1)

10 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Math 317
B. Wagner
Spring 1998
Assignment E
Predator-Prey Linear Dynamical Systems
Group Project
This project is to be completed with your assigned group members. It is due on Thursday
February 12. Be sure to read the Rules for Programming Assignments first.
1. Read section 1.5.1 in the text, pages 74-76.
2. Complete exercises 1-6 on pages 76-77. Write out the explanations and answers to questions
(by hand or typed). For each of problems 2-5, create an m-file to do the computations and
plotting. Print out your m-files (you may combine them into one printout if you wish, using
the built-in editor) and plots.
3. Also, read the Remark on page 77.
4. Comment: The matrix Tdefines a function F:R2R2by matrix multiplication (F(P1)=
P
2
,whereP
2=TP
1). The input of Fis a vector P1, and the output is also a vector, P2.
This type of function is called a linear transformation, and will be an important concept
in this course (introduced in Chapter 3). This project studies the effect of applying the
function Frepeatedly, which models a process known as a linear dynamical system.

Partial preview of the text

Download Assignment - Predator Prey Linear Dynamical Systems | MATH 317 and more Assignments Linear Algebra in PDF only on Docsity!

Math 317 B. Wagner Spring 1998 Assignment E

Predator-Prey Linear Dynamical Systems

Group Project

This project is to be completed with your assigned group members. It is due on Thursday February 12. Be sure to read the Rules for Programming Assignments first.

  1. Read section 1.5.1 in the text, pages 74-76.
  2. Complete exercises 1-6 on pages 76-77. Write out the explanations and answers to questions (by hand or typed). For each of problems 2-5, create an m-file to do the computations and plotting. Print out your m-files (you may combine them into one printout if you wish, using the built-in editor) and plots.
  3. Also, read the Remark on page 77.
  4. Comment: The matrix T defines a function F : R^2 → R^2 by matrix multiplication (F (P 1 ) = P 2 , where P 2 = T P 1 ). The input of F is a vector P 1 , and the output is also a vector, P 2. This type of function is called a linear transformation, and will be an important concept in this course (introduced in Chapter 3). This project studies the effect of applying the function F repeatedly, which models a process known as a linear dynamical system.