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Had a horrible lecture this morning and the following was presented at a lightning quick pace. I'm not sure whether I messed up my notes in my haste to get them all down or if I'm completely not understanding something.

I have two sets of vectors: W = {w1,w2,w3,.....,wm} and V = {v1,v2,...,vn} V is linearly independent.

If the elements of W are linear combinations of the elements in V and there are more elements in W than V, m>n, W is linearly dependent or independent?

I wrote down W is linearly independent, but I'm thinking this is wrong.

Clarification would be VERY GREATLY APPRECIATED.

Thanks.

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# Homework Help: Linear Algebra - Dimension, Basis

**Physics Forums | Science Articles, Homework Help, Discussion**