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Consider the following $(2\times2)$ matrix

                                                                 $\left( \begin{array}{c} 4 & 0 \\ 0 & 4 \end{array} \right)$

Which one of the following vectors is $\text{NOT}$ a valid eigenvector of the above matrix ?

  1. $\left( \begin{array}{c} 1 \\ 0 \end{array} \right)$
  2. $\left( \begin{array}{c} -2 \\1 \end{array} \right)$
  3. $\left( \begin{array}{c} 4 \\ -3 \end{array} \right)$
  4. $\left( \begin{array}{c} 0 \\ 0 \end{array} \right)$
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