Question

The matrix T
\[ \begin{pmatrix} 1-(-1) & 1-i \\ 1+i & 0-(-1) \\ \end{pmatrix} \begin{pmatrix} \alpha_1\\ \alpha_2 \end{pmatrix} = -1\begin{pmatrix} \alpha_1\\ \alpha_2 \end{pmatrix}\]

has eigenvalues
\[\lambda_{1,2}=-1,2 \in \mathbb{R}\]

How do i find the eigenvectors