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Property

Taking a common factor out of a row

det(,kRi,)=kdet(,Ri,)\det(\ldots, kR_i, \ldots) = k\,\det(\ldots, R_i, \ldots)
kk
the common factor

A factor common to every entry of one row or column comes outside the determinant once, which is the single-row version of the scalar rule.

12
questions use it
6
of them past-year
2019–2025
years it has appeared
33%
rated HARD
1
exam
Matrices & Determinants notesOpen all 12 in the paper builder

Used alongside

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

12 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