linear transformation


Definition of linear transformation

1 : a transformation in which the new variables are linear functions of the old variables
2 : a function that maps the vectors of one vector space onto the vectors of the same or another vector space with the same field of scalars in such a way that the image of the sum of two vectors equals the sum of their images and the image of the product of a scalar and a vector equals the product of the scalar and the image of the vector

First Known Use of linear transformation

circa 1846, in the meaning defined at sense 1

Keep scrolling for more

Learn More about linear transformation

Time Traveler for linear transformation

Time Traveler

The first known use of linear transformation was circa 1846

See more words from the same year

Statistics for linear transformation

Cite this Entry

“Linear transformation.” Dictionary, Merriam-Webster, Accessed 16 Jan. 2021.

More from Merriam-Webster on linear transformation Encyclopedia article about linear transformation

Comments on linear transformation

What made you want to look up linear transformation? Please tell us where you read or heard it (including the quote, if possible).


Test Your Vocabulary

Words of Snow and Ice Quiz

  • image1037863653
  • Which of the following refers to thin, bending ice, or to the act of running over such ice?
True or False

Test your knowledge - and maybe learn something along the way.


Anagram puzzles meet word search.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!