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det(\left(\begin{matrix}-\frac{15}{2}&-15\\3&1\end{matrix}\right))
Find the determinant of the matrix.
-\frac{15}{2}-\left(-15\times 3\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-\frac{15}{2}-\left(-45\right)
Multiply -15 times 3.
\frac{75}{2}
Subtract -45 from -\frac{15}{2}.