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  "body": "\n## Statement\n\nTake a [[linear system|0GT4WWGWH2]] and form its [[augmented matrix|0T6MWGZSXA]].\nThe system is [[inconsistent|0X6V9B1V10]] exactly when the rightmost column of that matrix holds a [[pivot|0J0BBCMJ5W]] position.\nSo the system has at least one solution exactly when the rightmost column has no pivot position.\n",
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  "msc": [
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  "name": "Inconsistency of a linear system and a pivot in the last column",
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  "url": "https://math2.tamnd.com/wiki/inconsistency-of-a-linear-system-and-a-pivot-in-the-last-column/",
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