How to determine if set of vectors is linearly independent?

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15-03-2018
Mathematics

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How to determine if set of vectors is linearly independent?

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Aqunictank Aqunictank · Answer 1 · 2018-03-15T14:03:33+01:00

Aqunictank Aqunictank

15-03-2018

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

[tex]c_1v_1+c_2v_2+...c_pv_p=0[/tex]

is [tex]c_1=c_2=...=c_p=0[/tex]

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