vector subspace (math snippet) (Q2002)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | vector subspace (math snippet) |
No description defined |
Statements
U=\\operatorname{span}\\{\\vec u_1,\\dots,\\vec u_n\\}\n=\\left\\{\n\\sum_{i=1}^n \\lambda_i \\vec u_i\n\\;\\middle|\\;\n\\lambda_i \\in \\mathbb{F}\n\\right\\}
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for $\\vec u_1,\\cdots, \\vec u_n \\in V$.\n\nThen Set $U$ is a vector subspace of $V$.\n\nSet $\\{u_1,\\dots,u_n\\}$ is then known as a '''generating set''' of $U$
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