Answer:
det(A) = (-6)(-2) - (-4)(-7)
Explanation:
The determinat of the following matrix:
![\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]](https://img.qammunity.org/2020/formulas/mathematics/high-school/6ja4nnlh77mn2lmtv81jdc3wod5v7j0z6v.png)
Is given by: Determinant a*d - b*c
In this case, a=-6, b=-7, c=-4 and d=-2.
Therefore the determinant is: (-6)(-2) - (-7)(-4).
Therefore, the correct option is the third one:
det(A) = (-6)(-2) - (-4)(-7)