Let B={v,,v. and s=fuu.u be two bases of a vector space y over a field F. Which of the following is correct? O A. The union "Rus" is also a basis of V O B. is still a basis of v O Since R and s are both linearly independent, no vector in B can be written as a linear combination of the vectors in s. O D. None of the choices in the list is correct.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
Let B={v
and s={u,u,
be two bases of a vector space y over a field
Which of the following is correct?
F-
O A. The union "Rus" is also a basis of V.
OB.
is still a basis of v.
OC Since
and
are both linearly independent, no vector in B can be written as a linear combination of the vectors in s.
B
O D.None of the choices in the list is correct.
A Moving to another question will save this response.
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ort sc
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7
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Transcribed Image Text:Let B={v and s={u,u, be two bases of a vector space y over a field Which of the following is correct? F- O A. The union "Rus" is also a basis of V. OB. is still a basis of v. OC Since and are both linearly independent, no vector in B can be written as a linear combination of the vectors in s. B O D.None of the choices in the list is correct. A Moving to another question will save this response. <Qu ort sc % & %24 3 4 5 7 R T Y F G K LLI
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