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Property

Consistency of a linear system

Δ0unique solution\Delta \neq 0 \Rightarrow \text{unique solution}
Δ\Delta
the coefficient determinant

A square system has a unique solution when the coefficient determinant is non-zero; when it is zero the system has either no solution or infinitely many, decided by the augmented system.

28
questions use it
6
of them past-year
2017–2025
years it has appeared
21%
rated HARD
1
exam
Matrices & Determinants notesOpen all 28 in the paper builder

Used alongside

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

28 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