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).

(1996-09-30)