20.1/1 points | Previous AnswersHoltLinAlg1 4.1.058.Determine if the statement is true or false, and justify your answer.If uand vare in a subspace S, then every point on the line connecting uand vis also in S.
s. Since is a subspace, both and belong to S, and hence belongs to SS.
. Since Sis a subspace, both (1 −s)uand svbelong to S, and hence (1 −s)ubelongs to S+ sv.
s.Since Sis a subspace, then only svbelongs to S, and hence (1 −s)u+ svbelongs to S.
Sis a subspace, neither (1 −s)unor svbelong to S, and hence (1 −s)u+ snot belong to Svdoes.