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Problem 5 For each of the following matrices A, find eigenvalues and eigenvectors (using Mathe- matica if you like) and draw clear phase plots for the system u' = Au, and classify the origin as an attractor, repellor, center, spiral attractor, or spiral repellor. Use a ruler (or electronic equivalent) for drawing axes. Draw arrows in the correct direction, and when eigenvectors are real, draw lines that clearly indicate the eigenspaces. 1. A = [ -3 2 -22

Problem 5 For each of the following matrices A, find eigenvalues and eigenvectors (using Mathe- matica if you like) and draw clear phase plots for the system u' = Au, and classify the origin as an attractor, repellor, center, spiral attractor, or spiral repellor. Use a ruler (or electronic equivalent) for drawing axes. Draw arrows in the correct direction, and when eigenvectors are real, draw lines that clearly indicate the eigenspaces. 1. A = [ -3 2 -22

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
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Problem 5 For each of the following matrices A, find eigenvalues and eigenvectors (using Mathe- matica if you like) and draw clear phase plots for the system u' = Au, and classify the origin as an attractor, repellor, center, spiral attractor, or spiral repellor. Use a ruler (or electronic equivalent) for drawing axes. Draw arrows in the correct direction, and when eigenvectors are real, draw lines that clearly indicate the eigenspaces. 1. A = 2. A = 3. A = 4. A = -32 -2 2 0 2 -5 2 2 -2 0 70 0-2 2 0
Transcribed Image Text:Problem 5 For each of the following matrices A, find eigenvalues and eigenvectors (using Mathe- matica if you like) and draw clear phase plots for the system u' = Au, and classify the origin as an attractor, repellor, center, spiral attractor, or spiral repellor. Use a ruler (or electronic equivalent) for drawing axes. Draw arrows in the correct direction, and when eigenvectors are real, draw lines that clearly indicate the eigenspaces. 1. A = 2. A = 3. A = 4. A = -32 -2 2 0 2 -5 2 2 -2 0 70 0-2 2 0
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