Suppose v=(12)v = \begin{pmatrix} 1 \\ 2 \end{pmatrix}v=(12) is an eigenvector of AAA with eigenvalue λ=3\lambda = 3λ=3. What is AvA vAv?
(12)\begin{pmatrix} 1 \\ 2 \end{pmatrix}(12)
(36)\begin{pmatrix} 3 \\ 6 \end{pmatrix}(36)
(32)\begin{pmatrix} 3 \\ 2 \end{pmatrix}(32)
(16)\begin{pmatrix} 1 \\ 6 \end{pmatrix}(16)