Previous answers holtlinalg1 41058 determine if the

This preview shows page 18 - 19 out of 19 pages.

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.
.
v
sv
21.2/2 points | Previous AnswersHoltLinAlg1 4.1.068.Let and suppose that is in Write as a linearcombination of the other three vectors. A= [a1a2a3a4],x= (4, 3, 2, 1)null(A).aa4=$$3a24a12a3
4
,
0.
.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture