(a) Subject to subsections (b) and (c) of this section:
(1) Each member is an agent of the limited liability company for the purpose of its business and an act of a member, including the signing of an instrument in the company's name, for apparently carrying on in the ordinary course the company's business or business of the kind carried on by the company binds the company, unless the member had no authority to act for the company in the particular matter and the person with whom the member was dealing knew or had notice that the member lacked authority.