Which of the following vectors is an eigenvector for A=(2003)A = \begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}A=(2003)?
(10)\begin{pmatrix} 1 \\ 0 \end{pmatrix}(10)
(11)\begin{pmatrix} 1 \\ 1 \end{pmatrix}(11)
(00)\begin{pmatrix} 0 \\ 0 \end{pmatrix}(00)
(12)\begin{pmatrix} 1 \\ 2 \end{pmatrix}(12)