Question

I suck at this, does anyone know?

Answer 1

For a 2x2 matrix, the determinant is the absolute value of ad-bc
in this case, a=4, b=-7, c=3, d=-2
4*(-2)=-8
-7*3=-21
-8-(-21)=13
so the answer is D

refer to this website for details:
https://www.mathsisfun.com/algebra/matrix-determinant.html