1. A multi-codec transforming system for a multi-codec corresponding to a plurality of different codec transformation techniques, comprising: a first matrix storage to store a plurality of 1-dimensional DCT (discrete cosine transform) matrixes corresponding to respective transformation techniques, of the plurality of different codec transformation techniques; a second matrix storage to store a plurality of 2-dimensional DCT matrixes corresponding to the respective transformation techniques; and a processor comprising a 1-dimensional transformer, a 2-dimensional transformer, and an enhancement transformer, wherein, the 1-dimensional transformer to 1-dimensionally transform an input image using a 1-dimensional DCT matrix corresponding to a set transformation technique, selected from among the plurality of 1-dimensional DCT matrixes; the 2-dimensional transformer to 2-dimensionally transform the 1-dimensionally transformed image using a 2-dimensional DCT matrix corresponding to the set transformation technique, selected from among the plurality of 2-dimensional DCT matrixes; and the enhancement transformer to enhancement transform the 1-dimensionally transformed image to improve efficiency of integer transformation.