For a 3×33 \times 33×3 matrix AAA with det(A)=d\det(A) = ddet(A)=d, what is det(cA)\det(cA)det(cA) where ccc is a scalar?
c⋅dc \cdot dc⋅d
c2⋅dc^2 \cdot dc2⋅d
c3⋅dc^3 \cdot dc3⋅d
Depends on the specific entries of AAA