# 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).

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linear argument linear assignment linear function Linear Graph Notation linear logic |
Banach inverse mapping theorem dual eigenvector inner product linear map |
linear programming linear space linear transformation linear type line conditioning |