if S={u1,u2,.....,un} and S'={v1,v2,....,vn} be two bases far a vector space V then v1=au1+bu2+......+zun ie every element of V(it can be v1 which is also the element of 2nd basis) can be written as a linear combination of basis vectors u1,u2,....un. how is it possible that a linearly independent vector, i.e v1 in this case, can b written as a linear combination of other linearly independent vectors. how???

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