5t 3s +5t Show that W is a subspace of R* by finding vectors u and v such that W = Span{u,v}. Let W be the set of all vectors of the form 2t 2s Write the vectors in W as column vectors. 5t 3s+5t E su + tv 2t 2s What does this imply about W? O A. W=u+ v O B. W=Span(u,v} O C. W=s+t O D. W=Span(s.t) Explain how this result shows that W is a subspace of R*. Choose the correct answer below. O A. Since u and v are in R and W = u + v, W is a subspace of R* O B. Since s and t are in R and W = u +v, W is a subspace of R* O C. Since s and t are in R and W = Span{u.v}. W is a subspace of R*. D. Since u and v are in R and W= Span{u,v), W is a subspace of R* DOOD 000 O O

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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5t
4
Show that W is a subspace of R* by
3s+5t
finding vectors u and v such that W= Span{u.v}.
Let W be the set of all vectors of the form
2t
2s
Write the vectors in W as column vectors.
5t
3s +5t
+t
= su + tv
2t
2s
What does this imply about W?
O A. W=u+v
O B. W= Span{u,v}
O C. W=s+t
O D. W=Span{s.t)
Explain how this result shows that W is a subspace of R*. Choose the correct answer below.
O A. Since u and v are in R and W= u+ v, W is a subspace of R*
O B. Since s and t are in R and W= u +v, W is a subspace of R*
O C. Since s and t are in R and W= Span{u,v}, W is a subspace of R*,
O D. Since u and v are in R and W = Span{u.v}, W is a subspace of R*
Transcribed Image Text:5t 4 Show that W is a subspace of R* by 3s+5t finding vectors u and v such that W= Span{u.v}. Let W be the set of all vectors of the form 2t 2s Write the vectors in W as column vectors. 5t 3s +5t +t = su + tv 2t 2s What does this imply about W? O A. W=u+v O B. W= Span{u,v} O C. W=s+t O D. W=Span{s.t) Explain how this result shows that W is a subspace of R*. Choose the correct answer below. O A. Since u and v are in R and W= u+ v, W is a subspace of R* O B. Since s and t are in R and W= u +v, W is a subspace of R* O C. Since s and t are in R and W= Span{u,v}, W is a subspace of R*, O D. Since u and v are in R and W = Span{u.v}, W is a subspace of R*
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