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det(\left(\begin{matrix}9&-8\\3&-6\end{matrix}\right))
Find the determinant of the matrix.
9\left(-6\right)-\left(-8\times 3\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-54-\left(-8\times 3\right)
Multiply 9 times -6.
-54-\left(-24\right)
Multiply -8 times 3.
-30
Subtract -24 from -54.