Phase Plane Analysis of Linear Systems with Distinct Real Eigenval ues. For each of the linear systems dx/dt = Ax in Exercise Group 3.3.6.1-4 (a) Find the eigenvalues of A. (b) What is the dominant eigenvalue? (c) Find the eigenvectors for each eigenvalue of A. (d) What are the straight-line solutions of dx/dt = Ax? (e) Describe the nature of the equilibrium solution at 0. (f) Sketch the phase plane and several solution curves. 1. 2. A = -1 2 (3) -6 6, A = -12 30 -5 13,

Phase Plane Analysis of Linear Systems with Distinct Real Eigenval ues. For each of the linear systems dx/dt = Ax in Exercise Group 3.3.6.1-4 (a) Find the eigenvalues of A. (b) What is the dominant eigenvalue? (c) Find the eigenvectors for each eigenvalue of A. (d) What are the straight-line solutions of dx/dt = Ax? (e) Describe the nature of the equilibrium solution at 0. (f) Sketch the phase plane and several solution curves. 1. 2. A = -1 2 (3) -6 6, A = -12 30 -5 13,

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 24EQ

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