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transformation matrix

noun

Definitions

  1. 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 [McGraw-Hill], 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.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA