Let W be the set of all vectors of the form Write the vectors in W as column vectors. 4s + 4t 4t 2t 4s ☐☐☐☐ oooo What does this imply about W? O A. W=u+v OB. W= Span{u,v} OC. W=Span{s,t} OD. W=s+t = su + tv 4s + 4t 4t Ë 2t 4s Show that W is a subspace of R4 by finding vectors u and v such that W = Span{u,v}. Explain how this result shows that W is a subspace of R4. Choose the correct answer below. O A. Sinces and t are in R and W = Span{u,v}, W is a subspace of R4. O B. Since u and v are in R4 and W = Span{u,v}, W is a subspace of R4. O C. Since u and v are in R4 and W = u + v, W is a subspace of R4. O D. Sinces and I are in R and W=u+v W is a subspace of R4 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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Let W be the set of all vectors of the form
Write the vectors in W as column vectors.
4s + 4t
4t
+ t
EHHHO-
2t
4s
What does this imply about W?
OA. W=u+v
B. W = Span{u,v}
C. W Span{s,t}
D. Ws+t
= su + tv
4s + 4t
4t
2t
4s
Show that W is a subspace of R4 by finding vectors u and v such that W =
Explain how this result shows that W is a subspace of R4. Choose the correct answer below.
A. Since s and t are in R and W = Span{u,v}, W is a subspace of R4.
B. Since u and v are in R4 and W = Span{u,v}, W is a subspace of R4.
C. Since u and v are in R4 and W = u + v, W is a subspace of R4.
D. Sinces and t are in R and W=u+v W is a subspace of R4
= Span{u,v}.
Transcribed Image Text:Let W be the set of all vectors of the form Write the vectors in W as column vectors. 4s + 4t 4t + t EHHHO- 2t 4s What does this imply about W? OA. W=u+v B. W = Span{u,v} C. W Span{s,t} D. Ws+t = su + tv 4s + 4t 4t 2t 4s Show that W is a subspace of R4 by finding vectors u and v such that W = Explain how this result shows that W is a subspace of R4. Choose the correct answer below. A. Since s and t are in R and W = Span{u,v}, W is a subspace of R4. B. Since u and v are in R4 and W = Span{u,v}, W is a subspace of R4. C. Since u and v are in R4 and W = u + v, W is a subspace of R4. D. Sinces and t are in R and W=u+v W is a subspace of R4 = Span{u,v}.
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