1.NounA 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."