Linear Algebra Through Geometry pp 113-116 | Cite as

# Transformations of 3-Space

Chapter

## 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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## Copyright information

© Springer-Verlag New York, Inc. 1992