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det(\left(\begin{matrix}5&8\\7&4\end{matrix}\right))
Find the determinant of the matrix.
5\times 4-8\times 7
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
20-8\times 7
Multiply 5 times 4.
20-56
Multiply 8 times 7.
-36
Subtract 56 from 20.