transformation matrix

Hello, you have come here looking for the meaning of the word transformation matrix. In DICTIOUS you will not only get to know all the dictionary meanings for the word transformation matrix, but we will also tell you about its etymology, its characteristics and you will know how to say transformation matrix in singular and plural. Everything you need to know about the word transformation matrix you have here. The definition of the word transformation matrix will help you to be more precise and correct when speaking or writing your texts. Knowing the definition oftransformation matrix, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.

English

English Wikipedia has an article on:
Wikipedia

Noun

transformation matrix (plural transformation matrices or transformation matrixes)

  1. (linear algebra) A matrix (of dimension n×m) that represents some linear transformation from ℝm→ℝn.
    Given a linear transformation T(x) in functional form, its transformation matrix can be constructed by applying T to each vector of the standard basis, then inserting the results into the columns of the new matrix.
    A transformation matrix of dimension n×m operates on a column vector of dimension m×1 to produce a row vector of dimension 1×n.
    • 1963 , Lawrence P. Huelsman, Circuits, Matrices and Linear Vector Spaces, 2011, Dover, page 191,
      We would like to make as many as possible of the elements of the transformation matrix equal zero.
    • 1968 , Granino A. Korn, Theresa M. Korn, Mathematical Handbook for Scientists and Engineers, 2000, Dover, page 414,
      Refer to Sec. 14.8-6 for a procedure yielding transformation matrices T with the desired properties.
    • 2005, Gerard Kim, Designing Virtual Reality Systems: The Structured Approach, Volume 1, Springer, page 47:
      The 4x4 transformation matrices are conveniently used to convert various entities expressed in different coordinate systems into another.

Derived terms

Translations

Further reading

Wikious
Boobota
Sagapedia