Consider the planar system y' = Ay, where the matrix A has eigenvalues A = -2, X2 = -3. Where does this system lie in the trace-determinant plane, and what type of equilibrium point is (0,0)? NODAL SOURCE SADDLE SPIRAL SOURCE

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 31EQ
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SADDLE
SPIRAL SOURCE
NODAL SINK
STAR SINK
Transcribed Image Text:SADDLE SPIRAL SOURCE NODAL SINK STAR SINK
Consider the planar system y' = Ay, where the matrix A has eigenvalues A = -2, X2 =-3.
Where does this system lie in the trace-determinant plane, and what type of equilibrium point is
(0,0)?
NODAL SOURCE
SADDLE
SPIRAL SOURCE
Transcribed Image Text:Consider the planar system y' = Ay, where the matrix A has eigenvalues A = -2, X2 =-3. Where does this system lie in the trace-determinant plane, and what type of equilibrium point is (0,0)? NODAL SOURCE SADDLE SPIRAL SOURCE
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