linear transformation


: a transformation in which the new variables are linear functions of the old variables
: 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

Word History

First Known Use

circa 1846, in the meaning defined at sense 1

Time Traveler
The first known use of linear transformation was circa 1846

Dictionary Entries Near linear transformation

Cite this Entry

“Linear transformation.” Dictionary, Merriam-Webster, Accessed 3 Oct. 2023.

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