In this paper, it is shown that the linear groups GL(2, Z3pn ) (where p is an odd prime greater than 3) and GL(2, Z5pn ) (where p is an odd prime greater than 5) can be generated by Lie regular matrices. Presentations of linear groups GL(2, Z9), GL(2, Z14), GL(2, Z15), GL(2, Z22), GL(2, Z25), GL(2, Z26), GL(2, Z27) and GL(2, Z34) are also given.