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det(\left(\begin{matrix}6&1\\6&-4\end{matrix}\right))
Find the determinant of the matrix.
6\left(-4\right)-6
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-24-6
Multiply 6 times -4.
-30
Subtract 6 from -24.