Find a 2 2 matrix A that has eigenvalues l1 2 and l2 3 and corresponding eigenvectors K1

Chapter 8, Problem 35

(choose chapter or problem)

Find a \(2 \times 2\) matrix A that has eigenvalues \(\lambda_{1}=2 \text { and } \lambda_{2}=3\) and corresponding eigenvectors

\(\mathbf{K}_{1}=\left(\begin{array}{l} 1 \\ 2 \end{array}\right) \quad \text { and } \quad \mathbf{K}_{2}=\left(\begin{array}{l} 1 \\ 1 \end{array}\right) \)

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