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