Consider the matrix A=(700−2)A = \begin{pmatrix} 7 & 0 \\ 0 & -2 \end{pmatrix}A=(700−2). Which vectors are eigenvectors of AAA?
(11)\begin{pmatrix} 1 \\ 1 \end{pmatrix}(11) and (01)\begin{pmatrix} 0 \\ 1 \end{pmatrix}(01)
(10)\begin{pmatrix} 1 \\ 0 \end{pmatrix}(10) and (01)\begin{pmatrix} 0 \\ 1 \end{pmatrix}(01)
(10)\begin{pmatrix} 1 \\ 0 \end{pmatrix}(10) and (11)\begin{pmatrix} 1 \\ 1 \end{pmatrix}(11)
(21)\begin{pmatrix} 2 \\ 1 \end{pmatrix}(21) and (12)\begin{pmatrix} 1 \\ 2 \end{pmatrix}(12)