Question: please explain it with steps 16. Let V be a vector space and S a subset of V with the property that whenever v1, U2,

please explain it with steps

16. Let V be a vector space and S a subset of V with the property that whenever v1, U2, . . ., Un E S and a1v1 + a202 + . . . "+ an Un = 0, then 01 = 02 = .. = an = 0. Prove that every vector in the span of S can be uniquely written as a linear combination of vectors of S

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