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= [ 1 3] [ 1 -1]

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 80E

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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= [ 1 3]

[ 1 -1]

Expert Solution