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Lecture
Linear Algebra: Free Generating Families
Description
This lecture covers the concept of free generating families in linear algebra, focusing on the generation of subspaces by combinations of elements. It discusses the properties of subspaces, including stability under scalar multiplication and addition. The lecture also explores the relationship space and linear dependency relations between elements, emphasizing the conditions for a family to be free or linked. Examples and proofs are provided to illustrate these concepts.
Official source
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