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det(\left(\begin{matrix}6&7\\9&1\end{matrix}\right))
Find the determinant of the matrix.
6-7\times 9
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
6-63
Multiply 7 times 9.
-57
Subtract 63 from 6.