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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.

Etymology

Origin of linear transformation

First recorded in 1885–90

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.