linear algebra

27. The following growth model for elephants (E) and mice (M) predicts population changes from decade to decade. E' M' 3E + M 2E + 4M (a) Determine the eigenvalues and associated eigenvectors for this sys- tem. (b) Suppose initially that we have p = [E, M] = [5, 5). Write p as a linear combination of the eigenvectors. (c) Use the information in part (b) to determine an approximate value for the population sizes in eight decades