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.

  • 1
    $\begingroup$ Yes, that's true for any power.. $\endgroup$
    – Tim
    May 27, 2013 at 11:04
  • 1
    $\begingroup$ you could simply have checked wikipedia $\endgroup$
    – user31280
    May 27, 2013 at 11:07

1 Answer 1


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


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