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Linear map - Wikipedia
In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping $${\displaystyle V\to W}$$ between two vector spaces that preserves the operations of vector addition and … See more
The composition of linear maps is linear: if $${\displaystyle f:V\to W}$$ and $${\textstyle g:W\to Z}$$ are linear, then so is their See more
No classification of linear maps could be exhaustive. The following incomplete list enumerates some important classifications that do not require … See more
Given a linear map which is an endomorphism whose matrix is A, in the basis B of the space it transforms vector coordinates [u] as [v] … See more
If $${\displaystyle V}$$ and $${\displaystyle W}$$ are finite-dimensional vector spaces and a basis is defined for each vector space, then every linear map from $${\displaystyle V}$$ to $${\displaystyle W}$$ can be represented by a See more
Wikipedia text under CC-BY-SA license LINEAR MAPS – Linear Algebra and Applications
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