{"entities":{"Q2002":{"pageid":3939,"ns":120,"title":"Item:Q2002","lastrevid":9753,"modified":"2026-10-12T07:19:15Z","type":"item","id":"Q2002","labels":{"en":{"language":"en","value":"vector subspace (math snippet)"}},"descriptions":{},"aliases":{},"claims":{"P1":[{"mainsnak":{"snaktype":"value","property":"P1","hash":"6056844c4a6d3699fbafab69805eed5ca36eab0e","datavalue":{"value":{"entity-type":"item","numeric-id":4,"id":"Q4"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q2002$67CCE071-F2C9-45D3-BB2F-C0339379C909","rank":"normal"}],"P4":[{"mainsnak":{"snaktype":"value","property":"P4","hash":"87bef2d9f2ee70874c7f20c6dbcb419418d66906","datavalue":{"value":"U=\\\\operatorname{span}\\\\{\\\\vec u_1,\\\\dots,\\\\vec u_n\\\\}\\n=\\\\left\\\\{\\n\\\\sum_{i=1}^n \\\\lambda_i \\\\vec u_i\\n\\\\;\\\\middle|\\\\;\\n\\\\lambda_i \\\\in \\\\mathbb{F}\\n\\\\right\\\\}","type":"string"},"datatype":"string"},"type":"statement","id":"Q2002$C70AD3C1-44D9-4A79-92C7-456DE31E4989","rank":"normal"}],"P75":[{"mainsnak":{"snaktype":"value","property":"P75","hash":"cd539e5aeee86cae3b04a63f5c6956b091526af3","datavalue":{"value":"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 $U$","type":"string"},"datatype":"string"},"type":"statement","id":"Q2002$0776E9CF-7D02-4FB0-B118-04E519A6C693","rank":"normal"}],"P6":[{"mainsnak":{"snaktype":"value","property":"P6","hash":"d92372df44774f866200aa6fd16439ffabdc85d9","datavalue":{"value":{"entity-type":"item","numeric-id":147,"id":"Q147"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q2002$CCD19A6D-AFA2-4957-AF6E-8BE82ED4DCDB","rank":"normal"}]},"sitelinks":{}}}}