Answer
The determinant is $2\frac{1}{6}$
Work Step by Step
The determinant is
$\frac{3}{4}\times \frac{7}{3} - \frac{5}{2}\times(-\frac{1}{6})=\frac{21}{12}+\frac{5}{12}=\frac{26}{12}=2\frac{2}{12}=2\frac{1}{6}$
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