linear transformation

American  

noun

Mathematics.

1. 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.

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Etymology

Origin of linear transformation

First recorded in 1885–90

Example Sentences

Show that a linear transformation for which ad − bc ≠ 0 maps parallelograms to parallelograms.

From Textbooks • Mar. 30, 2016

Arnold’s cat map is a linear transformation applied over and over to a picture of a cat.

From Scientific American • Sep. 26, 2012