# linear transformation

- a map from one vector space to a vector space having the same field of scalars, with the properties that the map of the sum of two vectors is the sum of the maps of the vectors and the map of a scalar times a vector equals the scalar times the map of the vector.

## Origin of linear transformation^{}

First recorded in 1885–90

Also called linear function.

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018