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Formula

Determinant of a power

Am=Am|A^m| = |A|^{\,m}
mm
the exponent
A|A|
the determinant of A

The determinant of a matrix power is the determinant raised to that power.

18
questions use it
6
of them past-year
2017–2026
years it has appeared
22%
rated HARD
1
exam
Matrices & Determinants notesOpen all 18 in the paper builder

Used alongside

How often each of these appears in the same solution as this one.

18 questions whose solution uses this

Every one was read individually — a question is here because its solution invokes this, not because the stem mentions it.

Every identity this chapter tests, with its own question set.

All Matrices & Determinants formulas