linear transformation

linear transformation
noun Date: circa 1846 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

New Collegiate Dictionary. 2001.

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  • linear transformation — linear change, one dimensional change …   English contemporary dictionary

  • linear transformation — Math. 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… …   Universalium

  • linear transformation — noun 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… …   Useful english dictionary

  • linear transformation — noun A map between vector spaces which respects addition and multiplication. Syn: linear map …   Wiktionary

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