Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Hello, On this question I get eigenvalues of .07 and .11 from the quadratic equation, despite .07 and 0.11 not being the product of .77. Because the eigenvalues are so small, the subtraction (A-I lambda) is positive, such as .49. Because of this, there is only one negative to work with in the matrix, and the second column, second row index cannot be canceled out to zero using a multiple of the first row. Could point out what I'm doing wrong on the first part of this question? Thanks

Hello, On this question I get eigenvalues of .07 and .11 from the quadratic equation, despite .07 and 0.11 not being the product of .77. Because the eigenvalues are so small, the subtraction (A-I lambda) is positive, such as .49. Because of this, there is only one negative to work with in the matrix, and the second column, second row index cannot be canceled out to zero using a multiple of the first row. Could point out what I'm doing wrong on the first part of this question? Thanks

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
100%

Hello,

On this question I get eigenvalues of .07 and .11 from the quadratic equation, despite .07 and 0.11 not being the product of .77. Because the eigenvalues are so small, the subtraction (A-I lambda) is positive, such as .49. Because of this, there is only one negative to work with in the matrix, and the second column, second row index cannot be canceled out to zero using a multiple of the first row. Could point out what I'm doing wrong on the first part of this question?

Thanks

S. Denote the owl and tat population in k (in months) by Xx= aot time particwar region where Ok s the number of owls in the re gu on, and Rk s the neumber of rats (in qhe thouwands). Supre Okes- 0.60k +0.SRu and Ricay= p Ok+1.2Rk Ok + 1.2Rk a predwioh parameter. claned form vector equation that models the owl and rat where is a) Find popwations for p=0.1. 6) Upadate your mobel goven that the iwtial population of owls s 400 and of Pats is 200 ,000. c) Compute the lim Xx and explown what is happening long-term with 1-11 (A -.111)d= 3 +1 102 -1 109 the populations of owls and rats. ..1 1-2 [-1 1-09 1 1.021o det (A-XI)= O |.G-A S - (.6-))(1.2 -) +05 = 0 :x -D\ +1.22 -.1 1.2-) 4.8±/3.24 - 4(4)(1.22) 1= 1.8 J3.24-4(. ?) 2(1) 1- 1-8±-1.64 A= 1-8 ±S.16 -X-18入.17-0 X=.09t .02
Transcribed Image Text:S. Denote the owl and tat population in k (in months) by Xx= aot time particwar region where Ok s the number of owls in the re gu on, and Rk s the neumber of rats (in qhe thouwands). Supre Okes- 0.60k +0.SRu and Ricay= p Ok+1.2Rk Ok + 1.2Rk a predwioh parameter. claned form vector equation that models the owl and rat where is a) Find popwations for p=0.1. 6) Upadate your mobel goven that the iwtial population of owls s 400 and of Pats is 200 ,000. c) Compute the lim Xx and explown what is happening long-term with 1-11 (A -.111)d= 3 +1 102 -1 109 the populations of owls and rats. ..1 1-2 [-1 1-09 1 1.021o det (A-XI)= O |.G-A S - (.6-))(1.2 -) +05 = 0 :x -D\ +1.22 -.1 1.2-) 4.8±/3.24 - 4(4)(1.22) 1= 1.8 J3.24-4(. ?) 2(1) 1- 1-8±-1.64 A= 1-8 ±S.16 -X-18入.17-0 X=.09t .02
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS