Consider the following coefficient matrix, which contains a parameter . * - (; )- 3 x' = 9 -5 Determine the eigenvalues in terms of aæ. r2 Find the critical value or values of a, where the qualitative nature of the phase portrait for the system changes. The roots are complex when > a There is a saddle point for < a The equilibrium point is a stable node where < a < ||
Consider the following coefficient matrix, which contains a parameter . * - (; )- 3 x' = 9 -5 Determine the eigenvalues in terms of aæ. r2 Find the critical value or values of a, where the qualitative nature of the phase portrait for the system changes. The roots are complex when > a There is a saddle point for < a The equilibrium point is a stable node where < a < ||
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 32E
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Question
![Consider the following coefficient matrix, which contains a
parameter .
3
x' =
9 -5
Determine the eigenvalues in terms of æ.
r2
Find the critical value or values of a, where the qualitative nature
of the phase portrait for the system changes.
The roots are complex when
> a
There is a saddle point for
< a
The equilibrium point is a stable node where
< a <
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F546ca3ef-5c41-4b6f-8ba8-1af4930ff657%2F82894e84-84b3-44ba-a212-c09a3886cf0e%2Fqxjpyx4_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following coefficient matrix, which contains a
parameter .
3
x' =
9 -5
Determine the eigenvalues in terms of æ.
r2
Find the critical value or values of a, where the qualitative nature
of the phase portrait for the system changes.
The roots are complex when
> a
There is a saddle point for
< a
The equilibrium point is a stable node where
< a <
||
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