Affine basis/Affinely independent generating system/Exercise

Let ${}E$ be an affine space over the ${}K$-vector space ${}V$, and let ${}P_{1},\ldots ,P_{n}$ be a finite family of points from ${}E$. Show that these points form an affine basis of ${}E$ if and only if they are affinely independent, and they are an affine generating system for ${}E$.

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