A matrix A=(2003)A = \begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}A=(2003) has eigenvectors for λ=2\lambda = 2λ=2 that are:
Any vector (x0)\begin{pmatrix} x \\ 0 \end{pmatrix}(x0) with x≠0x \neq 0x=0
Any vector (0y)\begin{pmatrix} 0 \\ y \end{pmatrix}(0y) with y≠0y \neq 0y=0
Only (10)\begin{pmatrix} 1 \\ 0 \end{pmatrix}(10)
None of the above