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det(\left(\begin{matrix}-6&-4\\-3&3\end{matrix}\right))
Find the determinant of the matrix.
-6\times 3-\left(-4\left(-3\right)\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-18-\left(-4\left(-3\right)\right)
Multiply -6 times 3.
-18-12
Multiply -4 times -3.
-30
Subtract 12 from -18.