$\mathbf{w}$ is NOT an eigenvector of $A$

$\mathbf{w}$ is an eigenvector of $A$ for eigenvalue $\lambda = 3$

$\mathbf{w}$ is an eigenvector of $A$ for eigenvalue $\lambda = 15$

$\mathbf{w}$ is an eigenvector of $A$ for eigenvalue $\lambda = 1/3$