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det(\left(\begin{matrix}-9&3\\7&2\end{matrix}\right))
Find the determinant of the matrix.
-9\times 2-3\times 7
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-18-3\times 7
Multiply -9 times 2.
-18-21
Multiply 3 times 7.
-39
Subtract 21 from -18.