Property
Non-trivial solutions of a homogeneous system
- the coefficient determinant
- the zero column
A homogeneous system has a solution other than all zeros exactly when its coefficient determinant vanishes.
24
questions use it
2
of them past-year
2023–2025
years it has appeared
38%
rated HARD
2
exams
Used alongside
How often each of these appears in the same solution as this one.
24 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