Answer
11/6
Work Step by Step
The determinant of a 2x2 matrix can be determined using the formula ad-bc where $\begin{bmatrix}
a & b \\
c & d
\end{bmatrix}$
In this matrix the determinant is:
(-1/2)(1/3) - (-6)(1/3) = -1/6 - (-2) = 11/6
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