Question: Consider the following geometric 2D transformations: D, a dilation (in which x-coordinates and y-coordinates are scaled by the same factor); R, a rotation; and T,

Consider the following geometric 2D transformations: D, a dilation (in which x-coordinates and y-coordinates are scaled by the same factor); R, a rotation; and T, a translation. Does D commute with R? That is, is D (R(x)) = R (D(x)) for all x in R²? Does D commute with T? Does R commute with T?

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