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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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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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