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

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...

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