Ononot — Consider the matrix A = \begin{pmatrix} 4 & 1 & 0 \\ 1 & 8 &

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Eigenvalues & Eigenvectorsmedium

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Consider the matrix $A = \begin{pmatrix} 4 & 1 & 0 \\ 1 & 8 & 2 \\ 0 & 1 & 12 \end{pmatrix}$ . According to Gerschgorin's Circle Theorem, in which of the following intervals must all the real eigenvalues of $A$ lie?