True or False? If a set of vectors has fewer vectors than entries in the vectors, then the set is linearly independent. O True O False
True or False? If a set of vectors has fewer vectors than entries in the vectors, then the set is linearly independent. O True O False
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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Question
please explain why is it true or false?

Transcribed Image Text:True or False?
If a set of vectors has fewer vectors than entries in the vectors, then the set is linearly independent.
O True
O False
Expert Solution

Step 1
Introduction:
A set is said to be linearly independent if and only if neither of the vectors is a multiple of each other.
To Find: True or false
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