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  "body": "\n## Statement\n\nLet $K$ be a commutative ring and let $A$ be an $n \\times n$ matrix over $K$.\nIf two different rows of $A$ are equal, then $\\det A = 0$, where $\\det$ is the [[determinant|00KDZRW4C0]].\n\n## Remarks\n\nThis is property 2 of the definition of the determinant.\nThe same holds for two equal columns.\nOver a field, more generally, $\\det A = 0$ when the rows of $A$ are linearly dependent.\n\n## Explanations\n\n### L1 human\n\nTwo equal rows mean that the rows span less than the full space.\nThen the box spanned by the rows is flat, and its volume is zero.\nSo the determinant is zero.\n",
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