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How to determine if set of vectors is linearly independent?

How to determine if set of vectors is linearly independent?
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How to determine if set of vectors is linearly independent?

User Badr
by
8.3k points

1 Answer

2 votes
The vectors
\{v_1,v_2,...,v_p\}\in \mathbb{R}^n are linearly independent if the ONLY solution to the following equation:


c_1v_1+c_2v_2+...c_pv_p=0

is
c_1=c_2=...=c_p=0
User John Kenn
by
8.1k points
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