Methods and systems for efficient scaling in the transform domain are provided when transform coefficient data is provided as an input to a data processing system, comprising generating a first matrix from transform coefficient data; zeroing out a row or column of, or inserting a row or column of zeros into, the first matrix; generating a second matrix by applying a one-dimensional inverse transform to the first matrix with the zeroed-out at least one row, the at least one column, the inserted at least one row of zeros or the at least one column of zeros; generating a third matrix by regrouping the second matrix; generating a combined matrix by applying a forward transform to the third matrix; and the data processing system scaling the data represented by the transform coefficient data by applying the combined matrix to the transform coefficient data.