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  "body": "\n## Statement\n\nLet $m$ be a positive integer.\nSuppose a set of vectors in $\\mathbb{R}^m$ is [[linearly independent|0CRMGPAH83]].\nThen the set has at most $m$ elements.\n\n## Remarks\n\nEquivalently, any set of more than $m$ vectors in $\\mathbb{R}^m$ is linearly dependent.\nThis is a special case of the [[Steinitz exchange lemma|08ZDRN6H41]], since the $m$ standard unit vectors span $\\mathbb{R}^m$.\n",
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