Ononot — Let A = 2I3 be a 3 \times 3 matrix, and let u = \begin{pmatr

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Eigenvalues & Eigenvectorshard

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Let $A = 2I_3$ be a $3 \times 3$ matrix, and let $u = \begin{pmatrix} 1 \\ 0 \\ 1 \end{pmatrix}$ and $v = \begin{pmatrix} 1 \\ 1 \\ 1 \end{pmatrix}$ . Find the eigenvalues of the rank-1 perturbation matrix $A + uv^T$ .