Property
Proportional rows make a determinant vanish
- any scalar
If two rows or columns are equal, or one is a multiple of another, or the rows are otherwise linearly dependent, the determinant is zero.
45
questions use it
15
of them past-year
2017–2026
years it has appeared
22%
rated HARD
2
exams
Used alongside
How often each of these appears in the same solution as this one.
45 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