Worksheet 4.1 – TheWorksheets.CoM

Worksheet 4.1 Vector Spaces - UC Santa Barbara

Subspaces: A subset Uof a vector space Vis a subspaceif it contains~0 and is closed under addition and scaling. A subspace is a vector space in its own right. 2 Are these subsets subspaces? (a)The vectors in R3 whose entries sum to zero (b)The vectors in R2 which lie on one of the axes (c)The vectors in R3 that are mapped to zero by matrices Aand B (d)The functions of the form f( ) = Asin ...