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det(\left(\begin{matrix}7&-6\\6&6\end{matrix}\right))
Find the determinant of the matrix.
7\times 6-\left(-6\times 6\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
42-\left(-6\times 6\right)
Multiply 7 times 6.
42-\left(-36\right)
Multiply -6 times 6.
78
Subtract -36 from 42.