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det(\left(\begin{matrix}1&3\\-5&4\end{matrix}\right))
Find the determinant of the matrix.
4-3\left(-5\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
4-\left(-15\right)
Multiply 3 times -5.
19
Subtract -15 from 4.