Find the Determinant of the Matrix $\left[ \begin{array} { l l } - \frac { 1 } { 2 } & \frac { 5 } { 6 } \\\\- 3 & \frac { 2 } { 5 }\end{array} \right]$

Multiple Choice

Find the determinant of the matrix $\left[ \begin{array} { l l } - \frac { 1 } { 2 } & \frac { 5 } { 6 } \\\\- 3 & \frac { 2 } { 5 }\end{array} \right]$ .

A) $\frac { 7 } { 6 }$
B) $- \frac { 27 } { 10 }$
C) $- \frac { 7 } { 12 }$
D) $\frac { 23 } { 10 }$
E) $\frac { 1 } { 4 }$