linear transformation


Definition of linear transformation

  1. 1 :  a transformation in which the new variables are linear functions of the old variables

  2. 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

Circa 1846

First Known Use of linear transformation

circa 1846

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a rounded knoll or a ridge of ice

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