May you please help answer this question? Thank you. ### Matrix Difference Equations in Population Dynamics3. Suppose \( U_{n+1} = A U_n \) is a **matrix difference** equation which describes discrete population changes from year to year.**A.** Suppose matrix \( A \) has eigenvalues \( \lambda_1 \) and \( \lambda_2 \) with corresponding eigenvectors \( V \) and \( W \).What is the general solution of this difference equation?**B.** Let \( U_N = \begin{pmatrix} x_N \\ y_N \end{pmatrix} \) 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?In analyzing population dynamics using matrix difference equations, it is essential to understand the components involved in the equations, such as eigenvalues, eigenvectors, and how to interpret them for long-term predictions.If you have any questions or need further explanations, please feel free to ask!

Name: May you please help answer this question? Thank you. ### Matrix Differ
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: May you please help answer this question? Thank you. ### Matrix Difference Equations in Population Dynamics3. Suppose \( U_{n+1} = A U_n \) is a **matrix difference** equation which describes discrete population changes from year to year.**A.** Suppo