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det(\left(\begin{matrix}11&4\\4&-3\end{matrix}\right))
Find the determinant of the matrix.
11\left(-3\right)-4\times 4
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-33-4\times 4
Multiply 11 times -3.
-33-16
Multiply 4 times 4.
-49
Subtract 16 from -33.