Answer:
det(A) = (-6)(-2) - (-4)(-7)
Step-by-step explanation:
The determinat of the following matrix:
![\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5C%5C%5Cend%7Barray%7D%5Cright%5D)
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)
