Ononot — A population model uses x{n+1} = Axn where A = \begin{pmatri

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Eigenvalues & Eigenvectorshard

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A population model uses $x_{n+1} = Ax_n$ where $A = \begin{pmatrix} 0.5 & 2 \\ 0.25 & 0.4 \end{pmatrix}$ . The dominant eigenvalue (largest magnitude) determines long-term growth. Find this eigenvalue.