Let $A$ be an $m \times n$ matrix, and $b$ an $m \times 1$ vector, both with integer entries. If $Ax = b$ has a solution over $ \mathbb Z/p \mathbb Z $ for every prime $p,$ is a real solution guaranteed?
I have no clue whatsoever.
2026-04-11 15:57:51.1775923071
Let A be an m × n matrix, and b an m × 1 vector, both with integer entries.
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