•Using eigenvalues [hardly begun!]

Question 14.  Write in vector-matrix form the linear discrete dynamical system that models this two-population ecosystem.  Then set up this vector-matrix form in your computer algebra system.

Question 15.  Find the eigenvalues of the coefficient matrix for this dynamical system.
Do you see any interesting relationships between the eigenvalues and any of the numbers--growth rates or population ratios--that you encountered earlier?

Question 16.  Find the eigenvectors of that correspond to each of the eigenvalues.
Do you see any interesting relationships between these eigenvectors and the various initial population size vectors you used in the earlier questions?

 Converted by Mathematica  (September 5, 2002)