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  "body": "\n## Statement\n\nTake a [[system of linear equations|0GT4WWGWH2]] and its [[coefficient matrix|0HQFZAP3ND]].\n\nSuppose that each row of the coefficient matrix contains a [[pivot|0J0BBCMJ5W]] position.\n\nThen the system is [[consistent|04JAAVHDDM]], so it has at least one solution.\n\n## Remarks\n\nThe condition concerns only the coefficient matrix, not the augmented matrix.\n\nThe converse fails: a consistent system can have a row of the coefficient matrix with no pivot.\n",
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