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det(\left(\begin{matrix}-2&6\\-3&-3\end{matrix}\right))
Find the determinant of the matrix.
-2\left(-3\right)-6\left(-3\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
6-6\left(-3\right)
Multiply -2 times -3.
6-\left(-18\right)
Multiply 6 times -3.
24
Subtract -18 from 6.