1. **State the problem:** Find the eigenvalues and corresponding eigenvectors for the matrix $$A=\begin{bmatrix}-2 & 2 & -1 \\ -2 & -3 & -6\end{bmatrix}$$ 2. **Dimension check:** The matrix appears to be given as a 2x3 matrix. Eigenvalues and eigenvectors are defined for square matrices only. 3. **Clarification:** The matrix must be square to find eigenvalues; please verify the matrix dimensions or provide a square matrix. Since eigenvalues cannot be computed for a non-square matrix, no further calculation is possible.