6. Determinants
6.1 General
The aim is to define an application that can be used to study the freedom of a family of n vectors in an n-dimensional space, and to characterize bases, invertible matrices, etc., for example. To this end, we're looking for an application that cancels out on related families.
The application φ could therefore verify the following properties:
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Determinants
Reduction of endomorphisms and square matrices
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