(b) Find the inverse of the matrix M.  (c) Find the eigenvalues of M.  (d) Find one eigenvector corresponding to each eigenvalue.  (e) Find matrices P and D such that D is diagonal and M = PDP1.  (f) As n becomes large, what will Dn approach? What will Mn approach?  (g) Estimate the current population of rabbits and foxes on Windward Island. 
N.B. Throughout Q1 you should ignore the fact that fn and rn should be integers – just treat them as real numbers.
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