linear transformation

noun

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

Share linear transformation

Statistics for linear transformation

Look-up Popularity

Time Traveler for linear transformation

The first known use of linear transformation was circa 1846

See more words from the same year

More from Merriam-Webster on linear transformation

Britannica.com: 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).

WORD OF THE DAY

required by fashion, etiquette, or custom

Get Word of the Day daily email!

Test Your Vocabulary

Great Scrabble Words—A Quiz

  • scrabble-tiles-that-read-scrabble-quiz
  • Which of the following Q-without-U words means the number five in cards or dice?
Name That Thing

Test your visual vocabulary with our 10-question challenge!

TAKE THE QUIZ
SCRABBLE® Sprint

Test Your Knowledge - and learn some interesting things along the way.

TAKE THE QUIZ

Love words? Need even more definitions?

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