Answer
Option D
Work Step by Step
Determinant of (A): $D_A=(-4).3-6.1=-18$
Determinant of (B): $D_B=1.8-6.3=-10$
Determinant of (C): $D_C=5.(-1)-7.(-3)=16$
Determinant of (D): $D_D=5.5-1.(-2)=27$
Therefore, D is the greatest determinant.