Which one of the following is an eigen vector of the matrix - 5 0 0 0- 0 5 5 0- 0 0 2 1- 0 0 3 1 -

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Evaluation of a Determinant

Which one of ...

Question

Which one of the following is an eigen vector of the matrix $⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 5 & 0 & 0 & 0 0 & 5 & 5 & 0 0 & 0 & 2 & 1 0 & 0 & 3 & 1 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦$

⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 - 2 00 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦

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⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 0010 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦

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⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 100 - 2 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦

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⎡ ⎢ ⎢ ⎢ ⎣ \begin{matrix} 1 - 1 21 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎦

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