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det(\left(\begin{matrix}6&9\\5&-3\end{matrix}\right))
Find the determinant of the matrix.
6\left(-3\right)-9\times 5
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-18-9\times 5
Multiply 6 times -3.
-18-45
Multiply 9 times 5.
-63
Subtract 45 from -18.