Linear Algebra (subject)

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Overview

Linear algebra is a branch of abstract algebra where we study the structure on, or structure resulting from vector spaces connected (via the arrows or homomorphism of) linear maps, these are simply maps that preserve the structure of vector spaces.

After that comes bilinear maps (a special case of multilinear maps) and onwards via the tensor product. This has links to analysis via differentiation as a vector space equipped with a norm are the minimum requirements to be able to differentiate