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Question 7.E.3.13: Find a dominant eigenpair for A = (7 2 3 0 2 0 −6 −2 −2) by ......

Find a dominant eigenpair for A = \begin{pmatrix}7 &2& 3\\ 0&2&0\\ −6 &−2& −2 \end{pmatrix} by the power method.

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The dominant eigenvalue is λ_1 = 4, and all corresponding eigenvectors are multiples of (−1,  0,  1)^T.

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