Ononot — Consider the block diagonal matrix A = \begin{bmatrix} B1 &

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Eigenvalues & Eigenvectorsmedium

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Consider the block diagonal matrix $A = \begin{bmatrix} B_1 & 0 \\ 0 & B_2 \end{bmatrix}$ where $B_1$ is $2 \times 2$ with eigenvalues $3, 5$ and $B_2$ is $3 \times 3$ with eigenvalues $2, 2, 7$ . What are the eigenvalues of $A$ ?