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By Cayley -Hamilton theorem the matrix A= \left( \begin{matrix} 1 & 3&7 \\ 4 ...

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By Cayley -Hamilton theorem the matrix  A= \left( \begin{matrix} 1 & 3&7 \\ 4 & 2 &3\\1 & 2&1 \end{matrix} \right) A= \left( \begin{matrix} 1 & 3&7 \\ 4 & 2 &3\\1 & 2&1 \end{matrix} \right) satisfies  the characteristic equation----------

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