Property
Consistency of a linear system
- 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.
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.
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Showing 28 of 28 questions — easiest first, then oldest paper first.
#1Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#2Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#3Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#4Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#5Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#6Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#7Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#8Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#9Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#10Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#11Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#12Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#13Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#14Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#15Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#16Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#17Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#18Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#19Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#20Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#21Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#22Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#23Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#24Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#25Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#26Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#27Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
#28Mathematics → Matrices & Determinants → Linear Systems — Consistency, Cramer's Rule, Solution Space
Every identity this chapter tests, with its own question set.
All Matrices & Determinants formulas