Let B={v,,v2.…...v,} and s={u,,u,…..u be two bases of a Which of the following is vector space y over a field F. correct? A. The union "BUS' İs also a basis of v. B. Since B and s are both linearly independent, no vector in B can be written as a linear combination of the vectors in s. С. u,}is still a basis of v. D. None of the choices in the list is correct.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let B={v,,v2..v} ,.u} be two bases of a
Which of the following is
and s={u,,u,
vector space y over a field
F.
correct?
A. The union "BUS" is also a basis of v.
B. Since z and s are both linearly independent, no vector
in B can be written as a linear combination of the
vectors in s.
С.
}is still a basis of v.
D. None of the choices in the list is correct.
Transcribed Image Text:Let B={v,,v2..v} ,.u} be two bases of a Which of the following is and s={u,,u, vector space y over a field F. correct? A. The union "BUS" is also a basis of v. B. Since z and s are both linearly independent, no vector in B can be written as a linear combination of the vectors in s. С. }is still a basis of v. D. None of the choices in the list is correct.
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