# How do you find the determinant of ((4, -7), (3, -2))?

Value of the determinant is $13$
The value of a $2 X 2$ a determinant $\left(\begin{matrix}a & b \\ c & d\end{matrix}\right)$ is given by $\left(a d - b c\right)$ i.e.$\left(4 \cdot \left(- 2\right) - 3 \cdot \left(- 7\right)\right)$ or $\left(- 8 + 21\right)$ or $13$.