For the Given Matrix and Eigenvalue, Find an Eigenvector Corresponding $$A = \left[ \begin{array} { l l } - 13 & 2 \\- 40 & 5\end{array} \right] , \lambda = - 5$$

For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue.
- $$A = \left[ \begin{array} { l l } - 13 & 2 \\- 40 & 5\end{array} \right] , \lambda = - 5$$

A)
$\left[ \begin{array} { l } - 4 \\ 1 \end{array} \right]$

B)

$\left[ \begin{array} { l } 1 \\ 4 \end{array} \right]$

C)
$\left[ \begin{array} { r } 1 \\ - 4 \end{array} \right]$

D)

$\left[ \begin{array} { l } 4 \\ 1 \end{array} \right]$