Solved: In 16, determine which of the indicated column vectors are eigenvectors of the

Chapter 8, Problem 3

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In Problems 1–6, determine which of the indicated column vectors are eigenvectors of the given matrix A. Give the corresponding eigenvalue.

\(\begin{array}{l} \mathbf{A}=\left(\begin{array}{ll} 6 & 3 \\ 2 & 1 \end{array}\right) ; \quad \mathbf{K}_{1}=\left(\begin{array}{r} 3 \\ -2 \end{array}\right) \\ \mathbf{K}_{2}=\left(\begin{array}{l} 1 \\ 0 \end{array}\right), \quad \mathbf{K}_{3}=\left(\begin{array}{c} -5 \\ 10 \end{array}\right) \end{array}\)

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