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det(\left(\begin{matrix}-4&1\\-3&3\end{matrix}\right))
Find the determinant of the matrix.
-4\times 3-\left(-3\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-12-\left(-3\right)
Multiply -4 times 3.
-9
Subtract -3 from -12.