A system of ordinary differential equations has an equilibrium point at the origin with the Jacobian matrix  J =  [0   1] [-3  0]    what is the classification of the linearised system of equations at this equilibrium point?  - Sink, centre, spiral source or star source?

Linear Algebra: A Modern Introduction
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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A system of ordinary differential equations has an equilibrium point at the origin with the Jacobian matrix 

J = 

[0   1]
[-3  0] 

 

what is the classification of the linearised system of equations at this equilibrium point? 
- Sink, centre, spiral source or star source? 

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