Metadata shorthands: {} aliases: [linear span, span, Span, linear hull, Linear hull] created: 2021-11-06 01:13:27 modified: 2022-01-10 04:13:04 If is a vector space and is any subset of , then is the intersection of all subspaces of which contain .
shorthands: {} aliases: [linear span, span, Span, linear hull, Linear hull] created: 2021-11-06 01:13:27 modified: 2022-01-10 04:13:04
From this and this we can see that is a subspace of and it equals to all finite linear combinations of vectors in .