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Definition of Affine Independence 📂Linear Algebra

Definition of Affine Independence

Definition 1

A set of vectors S:={v0,v1,,vn}VS := \left\{ v_{0} , v_{1}, \cdots , v_{n} \right\} \subset V is said to be Affinely Independent if the vectors in SS or SS itself are linearly independent. v1v0,v2v0,,vnv0 v_{1} - v_{0} , v_{2} - v_{0} , \cdots , v_{n} - v_{0}