Answer
$2$
Work Step by Step
General formula to calculate the determinate of a matrix is:
$D=\begin{vmatrix}p&q\\r&s\end{vmatrix}=ps-qr$
As per question, we have
Thus, $D=\begin{vmatrix}\frac{1}{5}&\frac{1}{6}\\-6&5\end{vmatrix}$
or, $D=\dfrac{1}{5}(5)-\dfrac{1}{6}(-6)=1+1=2$
