4s + 2t V be the set of all vectors of the form Show that W is a subspace of R* by finding vectors u and v such 2s - 5t 4t the vectors in W as column vectors. Is +2t = su + tv - 5t E does this imply about W? .. W = u+v . W=s+t E. W= Span{u,v} . W= Span{s.t} ain how this result shows that W is a subspace of R*. Choose the correct answer below. - Since u and v are in R* and W= Span{u,v}, W is a subspace of R*. . Since s and t are in R and W= Span{u,v}, W is a subspace of R+. · Since u and v are in R* and W=u + v, W is a subspace of R4. . Since s and t are in R and W = u +v, W is a subspace of R.
4s + 2t V be the set of all vectors of the form Show that W is a subspace of R* by finding vectors u and v such 2s - 5t 4t the vectors in W as column vectors. Is +2t = su + tv - 5t E does this imply about W? .. W = u+v . W=s+t E. W= Span{u,v} . W= Span{s.t} ain how this result shows that W is a subspace of R*. Choose the correct answer below. - Since u and v are in R* and W= Span{u,v}, W is a subspace of R*. . Since s and t are in R and W= Span{u,v}, W is a subspace of R+. · Since u and v are in R* and W=u + v, W is a subspace of R4. . Since s and t are in R and W = u +v, W is a subspace of R.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:4s
4s + 2t
Let W be the set of all vectors of the form
Show that W is a subspace of R* by finding vectors u and v such that W= Span{u,v}.
2s - 5t
4t
Write the vectors in W as column vectors.
4s
4s + 2t
= S
= su + tv
2s - 5t
4t
What does this imply about W?
O A. W=u+v
O B. W=s+t
OC. W= Span{u,v}
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 R4 and W= Span{u,v}, W is a subspace of R4.
O B. Since s and t are in R and W = Span{u,v}. W is a subspace of R4.
OC. Since u and v are in R4 and W= u + v, W is a subspace of R4.
O D. Since s and t are in R and W=u +v, W is a subspace of R4.
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