3s + 5t 2s 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). %3D 5s - 3t 4t Write the vectors in W as column vectors. 3s + 5t 2s = su + tv 5s - 3t 4t What does this imply about W? O A. W=u+v B. W= Span(u,v) c. W= Span(s,t) D. W=s+t Explain how this result shows that W is a subspace of R4. 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. B. Since s and t are in R and W = Span(u,v), W is a subspace of R*. C. Since s and t are in R and W =u+ v, W is a subspace of R4. D. Since u and v are in R4 and W = u +v, W is a subspace of R4. O O

3s + 5t 2s 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). %3D 5s - 3t 4t Write the vectors in W as column vectors. 3s + 5t 2s = su + tv 5s - 3t 4t What does this imply about W? O A. W=u+v B. W= Span(u,v) c. W= Span(s,t) D. W=s+t Explain how this result shows that W is a subspace of R4. 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. B. Since s and t are in R and W = Span(u,v), W is a subspace of R*. C. Since s and t are in R and W =u+ v, W is a subspace of R4. D. Since u and v are in R4 and W = u +v, W is a subspace of R4. O O

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

3s + 5t
2s
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).
5s - 3t
4t
Write the vectors in W as column vectors.
3s + 5t
2s
= su + tv
5s - 3t
4t
What does this imply about W?
O A. W=u+v
O B. W= Span(u,v)
OC. W= Span{s,t)
O D. W=s+t
Explain how this result shows that W is a subspace of R4. 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 R.
O C. Since s and t are in R and W=u+ v, W is a subspace of R4.
O D. Since u and v are in R4 and W=u + v, W is a subspace of R4.
OOOO

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