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  "body": "\n## Summary\n\nAn overdetermined system is a [[system of linear equations|0GT4WWGWH2]] with more equations than unknowns.\nSuch a system usually has no solution; a system with no solution is called [[inconsistent|0X6V9B1V10]].\nOverdetermined systems arise whenever many measurements are fitted with a model that has few parameters.\nThe method of [[least squares|0BYTQ4X1HC]] then finds the vector that comes closest to solving all equations.\n\n## Explanations\n\n### L1 human\n\nEach equation is a condition, and each unknown is a freedom.\nWith more conditions than freedoms, the conditions usually contradict each other.\nPicture three lines in the plane: two lines usually meet in a point, but a third line usually misses that point.\nFor example, $x + y = 2$, $x - y = 0$ and $x + 2y = 4$ have no common solution, because the first two force $x = y = 1$ and then $x + 2y = 3$.\n",
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