The State School Building Finance Committee, established by Section 15909 and composed of the Governor, the Controller, the Treasurer, the Director of Finance, and the Superintendent, or their designated representatives, all of whom shall serve thereon without compensation, and a majority of whom shall constitute a quorum, is continued in existence for the purpose of this chapter. The Treasurer shall serve as chairperson of the committee. Two Members of the Senate appointed by the Senate Committee on Rules, and two Members of the Assembly appointed by the Speaker of the Assembly, shall meet with and provide advice to the committee to the extent that the advisory participation is not incompatible with their respective positions as Members of the Legislature. For the purposes of this chapter, the Members of the Legislature shall constitute an interim investigating committee on the subject of this chapter and, as that committee, shall have the powers granted to, and duties imposed upon, those committees by the Joint Rules of the Senate and the Assembly. The Director of Finance shall provide assistance to the committee as it may require. The Attorney General of the state is the legal adviser of the committee.