TITLE: Properties of determinants.
QUESTION [5 upvotes]: Is this property of a determinant true?
$$|A^3| = |A|^3.$$
I haven't studied about this but while working out on a sum, wondered if this could be true, I'll check out on other sums too if this works.

REPLY [4 votes]: Hint: use $\det(AB)=\det(A)\det(B)$.