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. Which of the following describe the set? Select all that apply. A. The set spans R³. B. The set is a basis for R³. C. The set is linearly independent. D. None of the above 3 2 QH -3 2 - 12

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 1AEXP
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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 spans R³.
Which of the following describe the set? Select all that apply.
A. The set spans R³.
B. The set is a basis for R³.
C. The set is linearly independent.
D. None of the above
3
2
-3
2
- 12
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 spans R³. Which of the following describe the set? Select all that apply. A. The set spans R³. B. The set is a basis for R³. C. The set is linearly independent. D. None of the above 3 2 -3 2 - 12
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