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Eigenvalues & Eigenvectorseasy
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The matrix A=(B00C)A = \begin{pmatrix} B & 0 \\ 0 & C \end{pmatrix}A=(B0​0C​) is block diagonal, where B=(1203)B = \begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}B=(10​23​) and C=(500−2)C = \begin{pmatrix} 5 & 0 \\ 0 & -2 \end{pmatrix}C=(50​0−2​). What are all eigenvalues of AAA?