All the 6705 non-isomorphic non-simple matroids on 9 elements are constructed (without computer assistance). The construction is based on the catalogue [4] of all the non-isomorphic matroids on at most 8 elements. The paper is a sequel to [5]; similar methods are used, but the denotations are somewhat shortened. The paper includes a catalogue of all the 4981 loopless matroids in the considered class.