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Question 15 Which of the following statements is incorrect? It is a basis for a subspace H, then each vector in Hcan be written in only one way as a linear combination of vectors in F Each line in R" is a one-dimensional subspace of R" None of these statements is incorrect The dimension of ColA is the number of pivot columns of A F = (v₁.V₂v,) is a basis for a subspace H of R", then the correspondence x→ [x), makes H look and act the same as RP

Question 15 Which of the following statements is incorrect? It is a basis for a subspace H, then each vector in Hcan be written in only one way as a linear combination of vectors in F Each line in R" is a one-dimensional subspace of R" None of these statements is incorrect The dimension of ColA is the number of pivot columns of A F = (v₁.V₂v,) is a basis for a subspace H of R", then the correspondence x→ [x), makes H look and act the same as RP

Advanced Engineering Mathematics
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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Incorrect Question 15 1 0 0 Which of the following statements is incorrect? If F is a basis for a subspace H, then each vector in Hcan be written in only one way as a linear combination of vectors in F Each line in R" is a one-dimensional subspace of R" None of these statements is incorrect The dimension of ColA is the number of pivot columns of A #F={V₁ V₂...V,} is a basis for a subspace H of R", then the correspondence x→ [x), makes H look and act the same as RP Question 16 Which of the following statements is(are) correct? B. The dimension of the column space of A is rank of A D. The dimension of Nul A is the number of variables in the equation da 1/
Transcribed Image Text:Incorrect Question 15 1 0 0 Which of the following statements is incorrect? If F is a basis for a subspace H, then each vector in Hcan be written in only one way as a linear combination of vectors in F Each line in R" is a one-dimensional subspace of R" None of these statements is incorrect The dimension of ColA is the number of pivot columns of A #F={V₁ V₂...V,} is a basis for a subspace H of R", then the correspondence x→ [x), makes H look and act the same as RP Question 16 Which of the following statements is(are) correct? B. The dimension of the column space of A is rank of A D. The dimension of Nul A is the number of variables in the equation da 1/
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