Calculate Determinant
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det(\left(\begin{matrix}2&3\\5&4\end{matrix}\right))
Find the determinant of the matrix.
2\times 4-3\times 5
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
8-3\times 5
Multiply 2 times 4.
8-15
Multiply 3 times 5.
-7
Subtract 15 from 8.