
Chapter 2 General Vector Spaces
... The first and second columns of A' contain leading 1, so the corresponding columns in A form a basis of A, and therefore of Span{S}, that is { (1,1,0),(1,2,3)}. 2.5.6 Algorithm: Given a set of vectors S = {v 1 , v 2 ,K , v k } in ℜn . To find a subset of these vectors that form a basis for span(S): ...
... The first and second columns of A' contain leading 1, so the corresponding columns in A form a basis of A, and therefore of Span{S}, that is { (1,1,0),(1,2,3)}. 2.5.6 Algorithm: Given a set of vectors S = {v 1 , v 2 ,K , v k } in ℜn . To find a subset of these vectors that form a basis for span(S): ...