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## Homework Statement

Suppose {u,v} and {v,w} are linearly dependent sets of vectors in R^n. Is {u,w} linearly dependent?

My Answer: don't know, individual vectors are neither dependant nor independant, it depends on the context they are put in.

Solutions:

No, the sets {i,0} and {0,j} are each linearly dependent in R^2. however the set {i,j} is lienarly independent.

I have a problem rapping my head around this one. I visualize the vectors as column matricies but then the solution provided by the text just pisses me off. It doesn't explain anything, and i don't want to go visualize something like the xy yz and zx planes to determine if these veectors are dependent or not. is there another way to figure out the answer?