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

Multiple Choice

Find the determinant of the matrix $\left[ \begin{array} { l l } \frac { 3 } { 2 } & \frac { 1 } { 2 } \\\\\frac { 2 } { 3 } & 2\end{array} \right]$ , if it exists

A) $\frac { 8 } { 5 }$

B) $6$

C) $- \frac { 8 } { 3 }$

D) $\frac { 1 } { 4 }$

E) $\frac { 8 } { 3 }$