linear map

(mathematics)

(Or "linear transformation") A function from a vector space to a vector space which respects the additive and multiplicative structures of the two: that is, for any two vectors, u, v, in the source vector space and any scalar, k, in the field over which it is a vector space, a linear map f satisfies f(u+kv) = f(u) + kf(v).

This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)

Mentioned in

Banach inverse mapping theorem
dual
eigenvector
Functional Analysis
inner product
linear system analysis
linear transformation
Orthogonal Projection
projection
symmetric
tensor product
topology

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