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Question 15 Which of the following statements is incorrect? OIFF 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 / O Each line in R is a one-dimensional subspace of R" O None of these statements is incorrect O The dimension of ColA is the number of pivot columns of A OffF= (V₁, V₂V₂) is a basis for a subspace H of R", then the correspondence x → [x] makes H look and act the same a

Question 15 Which of the following statements is incorrect? OIFF 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 / O Each line in R is a one-dimensional subspace of R" O None of these statements is incorrect O The dimension of ColA is the number of pivot columns of A OffF= (V₁, V₂V₂) is a basis for a subspace H of R", then the correspondence x → [x] makes H look and act the same a

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 22EQ
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Question 15 Which of the following statements is incorrect? Olf 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 / O Each line in R is a one-dimensional subspace of R" O None of these statements is incorrect O The dimension of ColA is the number of pivot columns of A OFF = {V₁, V₂,} is a basis for a subspace H of R", then the correspondence x → [x], makes H look and act the same a
Transcribed Image Text:Question 15 Which of the following statements is incorrect? Olf 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 / O Each line in R is a one-dimensional subspace of R" O None of these statements is incorrect O The dimension of ColA is the number of pivot columns of A OFF = {V₁, V₂,} is a basis for a subspace H of R", then the correspondence x → [x], makes H look and act the same a
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