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 linearly independent. C. The set is a basis for R³. D. None of the above are true. 0 4 0 0 0 -3 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
HI
Which of the following describe the set? Select all that apply.
A. The set spans R³.
B. The set is linearly independent.
C. The set is a basis for R³.
D. None of the above are true.
-4
8
0
0
O O O
ه
-3
C....
CS Scanned with
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. HI Which of the following describe the set? Select all that apply. A. The set spans R³. B. The set is linearly independent. C. The set is a basis for R³. D. None of the above are true. -4 8 0 0 O O O ه -3 C.... CS Scanned with
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