Determine if the set of vectors shown to the right is a basis for R3. If the set of vectors is not a basis, determine whether it is linearly independent and whether the set spans R3. -6 4 Which of the following describe the set? Select all that apply. O A. The set is a basis for R3. O B. The set spans R3. O C. The set is linearly independent. O D. None of the above

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 33EQ
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Determine if the set of vectors shown to the right is a basis for R3. If the set of vectors is not a basis, determine whether it is linearly independent and whether the set
2
- 4
spans R3.
2
-6
4
Which of the following describe the set? Select all that apply.
O A. The set is a basis for R³.
O B. The set spans R.
O C. The set is linearly independent.
O D. None of the above
Transcribed Image Text:Determine if the set of vectors shown to the right is a basis for R3. If the set of vectors is not a basis, determine whether it is linearly independent and whether the set 2 - 4 spans R3. 2 -6 4 Which of the following describe the set? Select all that apply. O A. The set is a basis for R³. O B. The set spans R. O C. The set is linearly independent. O D. None of the above
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