Question: If S = {x1, x2, . . . , xn} is affinely independent, every x aff S has a unique representation as an affine

If S = {x1, x2, . . . , xn} is affinely independent, every x ∈ aff S has a unique representation as an affine combination of the elements of S; that is, there are unique scalars a1, a2, . . . , an such that
x = a1x1 + a2x2 +........+ anxn

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