Transformation Matrix Definition
noun
A matrix (of dimension n×m) that represents some linear transformation from ℝ^m→ℝ^n.
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.
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