5s + 4t 5t Let W be the set of all vectors of the form Show that W is a subspace of R4 by finding vectors u and v such that W = Span(u,v). 2t 3s Write the vectors in W as column vectors. 5s + 4t 5t = su + tv 2t 3s What does this imply about W? O A. W= Span(s,t} B. W=s+t C. W=u+v D. W= Span{u,v} Explain how this result shows that W is a subspace of R4. Choose the correct answer below. Since u and v are in R* and W = Span(u,v), W is a subspace of R*. B. Since u and v are in R* and W = u +v, W is a subspace of R4. OC. Since s and t are in R and W = u+ v, W is a subspace of R4. O D. Since s and t are in R and W = Span{u,v}, W is a subspace of R4.

5s + 4t 5t Let W be the set of all vectors of the form Show that W is a subspace of R4 by finding vectors u and v such that W = Span(u,v). 2t 3s Write the vectors in W as column vectors. 5s + 4t 5t = su + tv 2t 3s What does this imply about W? O A. W= Span(s,t} B. W=s+t C. W=u+v D. W= Span{u,v} Explain how this result shows that W is a subspace of R4. Choose the correct answer below. Since u and v are in R* and W = Span(u,v), W is a subspace of R. B. Since u and v are in R and W = u +v, W is a subspace of R4. OC. Since s and t are in R and W = u+ v, W is a subspace of R4. O D. Since s and t are in R and W = Span{u,v}, W is a subspace of R4.

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

5s + 4t
5t
Let W be the set of all vectors of the form
Show that W is a subspace of R4 by finding vectors u and v such that W = Span(u,v).
2t
3s
Write the vectors in W as column vectors.
5s + 4t
5t
= su + tv
2t
3s
What does this imply about W?
A. W= Span(s,t)
B. W=s+t
C. W=u+v
D. W= Span{u,v}
Explain 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*.
B. Since u and v are in R* and W = u +v, W is a subspace of R4.
OC. Since s andt are in R and W= u+v, W is a subspace of R4.
O D. Since s and t are in R and W = Span{u,v), W is a subspace of R*.

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