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In terms of linear algebra, is this is simply the projection of an n dimensional vector from an n dimensional space to another n dimensional space?


@intelligentDungBeetle A linear map need not be a projection, nor must it preserve dimension (i.e., go from n dimensions to n dimensions). For instance, a rotation is a linear transformation but not a projection; the sum of n coordinates is a linear map from R^n to R^1.


Are there any other forms of linear transformation used in graphics besides rotation, translation and scaling?


@tpan Shearing. (And translation isn’t linear!)