# Properties of determinants.

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.

• Yes, that's true for any power..
– Tim
May 27 '13 at 11:04
• you could simply have checked wikipedia
– user31280
May 27 '13 at 11:07

Hint: use $\det(AB)=\det(A)\det(B)$.