Find the Determinant of the Matrix $\left[ \begin{array} { c c } - \frac { 1 } { 2 } & \frac { 1 } { 3 } \\- 24 & \frac { 1 } { 3 }\end{array} \right]$

Multiple Choice

Find the determinant of the matrix. $\left[ \begin{array} { c c } - \frac { 1 } { 2 } & \frac { 1 } { 3 } \\- 24 & \frac { 1 } { 3 }\end{array} \right]$

A) $\frac { 47 } { 6 }$
B) $- \frac { 6 } { 47 }$
C) $- \frac { 47 } { 6 }$
D) $\frac { 3 } { 47 }$
E) $\frac { 6 } { 47 }$