Transformations of 3-Space
As in the planar case, we define a transformation of 3-space to be a rule T which assigns to every vector X of 3-space some vector T(X) of 3-space. The vector T(X) is called the image of X under T, and the collection of all vectors which are images of vectors under the transformation T is called the range of T. We denote transformations by capital letters, such as A, B, R, S, T, etc.
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