Discussion
A system of 4 equations in 3 unknowns has coefficient matrix of rank 3 and augmented matrix of rank 3. The system has
Answer: B
Correct answer: a unique solution
The two ranks are equal, so the system is consistent, and their common value 3 equals the number of unknowns, so there are no free variables. The fourth equation is therefore not an extra constraint but a consequence of the other three - more equations than unknowns does not imply inconsistency, only that some are redundant.
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