Suppose that S={v1,v2,v3} is a linearly independent set of vectors in a vector space V. Let T={w1,w2,w3}, where w1=v1+v2+v3, w2=v2+v3, and w3=v3. Then, T is:

A) Linearly independent
B) Linearly dependent
C) A basis for V
D) A spanning set for V