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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 45E
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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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