(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If the set {v1,v2,v3} of vectors in R^(m) is linearly dependent, then argue that the set {v1,v2,v3,v4} is also linearly dependent for every choice of v4 in R^(m).

2. Relevant equations

Definitions would be more relevant so...

Linearly Independent: If the only solution is the trivial solution

Linearly Dependent: If there are more solutions than he trivial solution.

3. The attempt at a solution

I started out by writing out three vectors that are a dependent set, and I noticed that no matter what I added for v4 there would still be that non trivial solution, therefore making it remain dependent.

Is that sound reasoning?

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# Homework Help: Linear independence

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