3) Let V be a vector space of dimension 7. Which of the following statements is true?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3) Let V be a vector space of dimension
7. Which of the following statements is
true?
A: Any set containing more than 7 vectors
is linearly dependent.
B: Any set containing at most 7 vectors is
linearly independent.
C: None of the above
Transcribed Image Text:3) Let V be a vector space of dimension 7. Which of the following statements is true? A: Any set containing more than 7 vectors is linearly dependent. B: Any set containing at most 7 vectors is linearly independent. C: None of the above
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