Noun
transformation matrix (plural transformation matrices or transformation matrixes)
(linear algebra) A matrix (of dimension n×m) that represents some linear transformation from ℝ→ℝ.
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.