For a particular interacting trio of animal groups the popul

For a particular interacting trio of animal groups, the population sizes in year k are denoted There is a matrix A that tells how the populations sizes change via the equation xk+1 = Axk. Note that this means that xk. = A^k x0 You are given the following information about A and xq (the vector of population sizes in year 0). Express xo as a linear combination of the eigenvectors. Analyze what the long-term behavior of the populations will be. That is, what is the limit of Xk as k right arrow infinity, and what will the relative ratios of the populations be in that limit? (Don\'t try to find A.)

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