Answered: The eigenvalues of the following matrix…

The eigenvalues of the following matrix will be real, distinct, and nonzero. Analyze the stability of equilibrium (0,0). Is it a sink, source, or a saddle point? A= [ -2 2] [ 2 1]

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 37EQ

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Question

The eigenvalues of the following matrix will be real, distinct, and nonzero. Analyze the stability of equilibrium (0,0). Is it a sink, source, or a saddle point?

A= [ -2 2]

[ 2 1]

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