Question

Evaluate each determinant.

12121834\left| \begin{array} { r r } { \frac { 1 } { 2 } } & { \frac { 1 } { 2 } } \\ { \frac { 1 } { 8 } } & { - \frac { 3 } { 4 } } \end{array} \right|

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Recall that a determinant of a matrix is denoted by a1b1a2b2\left|\begin{array}{rr} a_1 & b_1 \\ a_2 & b_2 \end{array}\right|, and that the determinant is defined by:

a1b1a2b2=a1b2a2b1\left|\begin{array}{rr} a_1 & b_1 \\ a_2 & b_2 \end{array}\right| = a_1b_2-a_2b_1

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