Suppose Un+1= A U₁ is a matrix difference equation which describes discreet population changes from year to year. A. Suppose matrix A has eigenvalues X₁ and X2 with corresponding eigenvectors V and W. What is the general solution of this difference equation? B. Let UN = (Y) where x represents the number of individuals in the first stage of life and y represents the number of individuals in the second stage of life in this population. In the long run, how do you find the fraction of the population that will be in stage one and the fraction of the population that will be in stage two ?

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