(a) The Chief Judge of the District of Columbia Court of Appeals, in addition to the authority conferred on the Chief Judge by Chapter 7 of this title, shall supervise the internal administration of that court —
(1) including all administrative matters other than those within the responsibility enumerated in section 11-1701(b), and
(2) including the implementation in that court of the matters enumerated in section 11-1701(b),
(b) The Chief Judge of the Superior Court, in addition to the authority conferred on the Chief Judge by Chapter 9 of this title, shall supervise the internal administration of that court —
(1) including all administrative matters other than those within the responsibility enumerated in section 11-1701(b), and
(2) including the implementation in that court of the matters enumerated in section 11-1701(b),