12-240/Classnotes for Thursday October 4

Recap Base - what were doing today Linear combination (lc) - We say v is a linear combination of a set S = {u1 ... un} if v = a1u1 ... anun for scalars from a field F. Span - span(S) is the set of all linear combination of set S Generate - We say S generates a vector space V is span(S) = V