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det(\left(\begin{matrix}9&7\\-7&5\end{matrix}\right))
Find the determinant of the matrix.
9\times 5-7\left(-7\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
45-7\left(-7\right)
Multiply 9 times 5.
45-\left(-49\right)
Multiply 7 times -7.
94
Subtract -49 from 45.