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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
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