9. Consider the linear system dY (a Y dt (a) Find the eigenvalues and the eigenvectors corresponding to the eigenvalues. (b) Suppose a = d < 0. Sketch the phase portrait and compute the general solution. (c) Suppose a = d > 0. Sketch the phase portrait and compute the general solution. II

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 16EQ
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9. Consider the linear system
dY
а
Y
dt
(a) Find the eigenvalues and the eigenvectors corresponding to the eigenvalues.
(b) Suppose a = d < 0. Sketch the phase portrait and compute the general solution.
(c) Suppose a = d > 0. Sketch the phase portrait and compute the general solution.
Transcribed Image Text:9. Consider the linear system dY а Y dt (a) Find the eigenvalues and the eigenvectors corresponding to the eigenvalues. (b) Suppose a = d < 0. Sketch the phase portrait and compute the general solution. (c) Suppose a = d > 0. Sketch the phase portrait and compute the general solution.
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