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**TimsBobby2** True or False: Provide a QUICK proof or a COUNTER-EXAMPLE to each of the following:

1.) If v_{1},...,v_{n} are any vectors in a vector space V, then the set {v_{1},...,v_{n}} is a basis for the subspace span {v_{1},...,v_{n}}.

I believe that this is false because if you had n vectors which were scalar multiples of each other then it wouldn't be a basis because it couldn't span the subspace or wouldn't be linearly independent, which is required. Is that correct/ on the right track?