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Formula

Determinant of a product

AB=AB|AB| = |A|\,|B|
A|A|
the determinant of A

The determinant of a product is the product of the determinants, which also shows that determinants commute even when the matrices do not.

18
questions use it
12
of them past-year
2017–2026
years it has appeared
22%
rated HARD
2
exams
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