I remember reading that if you have a set of vectors that if one of the vectors is a lin combination of the vectors before it then the set is lin dependent. What I'm confused about is does that vector have to be lin combination of ALL of the previous vectors or just at least one for the set to be lin dependent?

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a combination of one or more though if you can write it is a l.c. of one of the vectors you can write it is a linear combination of all the vectors

I think should be all the combinations.

Great so if you want to get the basis of the set of vectors you get rid of the linear combination right?

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