# linear map

Computing Dictionary

### linear map definition

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).
(1996-09-30)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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