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The Coverage Problem: Why LLMs Can't Do Matrix Math

LLM limitations are not about intelligence — they are about guarantees. A large language model can produce a plausible answer for almost any single input you hand it. What it cannot do is guarantee correctness across the full combinatorial space of inputs and conditions that a real production system must handle. That gap — between "works on the inputs I tested" and "works on every input that will ever arrive" — is the coverage problem.