Abstract
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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© 1992 Springer-Verlag New York, Inc.
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Banchoff, T., Wermer, J. (1992). Transformations of 3-Space. In: Linear Algebra Through Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4390-8_11
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DOI: https://doi.org/10.1007/978-1-4612-4390-8_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8752-0
Online ISBN: 978-1-4612-4390-8
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