Evaluate the Determinant of the Given Matrix and State Whether $$A = \left[ \begin{array} { r r r } - 5 & - 3 & 1 \\- 4 & 3 & - 9 \\- 5 & 6 & 4\end{array} \right]$$

Multiple Choice

Evaluate the determinant of the given matrix and state whether the matrix is invertible.
- $$A = \left[ \begin{array} { r r r } - 5 & - 3 & 1 \\- 4 & 3 & - 9 \\- 5 & 6 & 4\end{array} \right]$$

A) $- 522 , \mathrm { No }$
B) $- 522 , \mathrm { Yes }$
C) $- 156 , \mathrm { No }$
D) $- 156 , \mathrm { Yes }$