Definition: vector space hyperplane (Q2146)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Definition: vector space hyperplane |
No description defined |
Statements
P=\\left\\{ \\vec p + \\sum_{i=1}^{k} \\lambda_{i}\\vec v_{i}\\, |\\, \\vec p,\\vec v_i \\in V,k < \\dim(V), \\lambda_{i} \\in \\mathbb{F} \\right\\}, \\\\
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and $\\{\\vec v_i\\}$ is [[linearly independent#vectors|linearly independent]],\n\nThen $P$ is a hyperplane of dimension $k$ in $V$
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