Find the Characteristic Equation of the Given Matrix $$A = \left[ \begin{array} { r r r r } 8 & - 1 & 5 & 2 \\0 & 3 & 1 & - 1 \\0 & 0 & - 6 & - 6 \\0 & 0 & 0 & - 5\end{array} \right]$$

Multiple Choice

Find the characteristic equation of the given matrix.
- $$A = \left[ \begin{array} { r r r r } 8 & - 1 & 5 & 2 \\0 & 3 & 1 & - 1 \\0 & 0 & - 6 & - 6 \\0 & 0 & 0 & - 5\end{array} \right]$$

A) $( 8 - \lambda ) ( 3 - \lambda ) ( - 6 - \lambda ) ( - 5 - \lambda ) = 0$
B) $( 8 - \lambda ) ( - 1 - \lambda ) ( 5 - \lambda ) ( 2 - \lambda ) = 0$
C) $( - 5 - \lambda ) ( - 6 - \lambda ) ( - 1 - \lambda ) ( 2 - \lambda ) = 0$
D) $( 2 - \lambda ) ( - 1 - \lambda ) ( - 6 - \lambda ) ( - 5 - \lambda ) = 0$