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Mathematics Add in library

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(b) Find the inverse of the matrix M. [1] (c) Find the eigenvalues of M. [2] (d) Find one eigenvector corresponding to each eigenvalue. [2] (e) Find matrices P and D such that D is diagonal and M = PDP1. [1] (f) As n becomes large, what will Dn approach? What will Mn approach? [3] (g) Estimate the current population of rabbits and foxes on Windward Island. [2]
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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