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The minimal polynomial of $\begin{pmatrix} 2 & 1 & 0 & 0\\ 0& 2 & 0 & 0\\ 0& 0 & 2 & 0\\ 0& 0 & 1 & 5 \end{pmatrix}$ is 

  1. $\left ( x-2 \right )\left ( x-5 \right ).$
  2. $\left ( x-2 \right )^{2}\left ( x-5 \right ).$
  3. $\left ( x-2 \right )^{3}\left ( x-5 \right ).$
  4. none of the above.
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