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det(\left(\begin{matrix}3&4\\3&3\end{matrix}\right))
Find the determinant of the matrix.
3\times 3-4\times 3
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
9-4\times 3
Multiply 3 times 3.
9-12
Multiply 4 times 3.
-3
Subtract 12 from 9.