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Determine whether the set 1 1 000 1 1 1 is a basis for R³. If the set is not a basis, determine whether the set is linearly independent and whether the set spans R³. Which of the following describe the set? Select all that apply. A. The set is linearly independent. B. The set is a basis for R³. C. The set spans R³. D. None of the above are true.

Determine whether the set 1 1 000 1 1 1 is a basis for R³. If the set is not a basis, determine whether the set is linearly independent and whether the set spans R³. Which of the following describe the set? Select all that apply. A. The set is linearly independent. B. The set is a basis for R³. C. The set spans R³. D. None of the above are true.

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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Determine whether the set 1 1 000 Which of the following describe the set? Select all that apply. A. The set is linearly independent. B. The set is a basis for R³. is a basis for R³. If the set is not a basis, determine whether the set is linearly independent and whether the set spans R³. C. The set spans R³. D. None of the above are true.
Transcribed Image Text:Determine whether the set 1 1 000 Which of the following describe the set? Select all that apply. A. The set is linearly independent. B. The set is a basis for R³. is a basis for R³. If the set is not a basis, determine whether the set is linearly independent and whether the set spans R³. C. The set spans R³. D. None of the above are true.
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