In instances where the educational assistance provided pursuant to section 3313(c)(1)(A) does not cover the full cost of tuition and fees for a program of education, the Secretary shall carry out a program under which colleges and universities can, voluntarily, enter into an agreement with the Secretary to cover a portion of such tuition and fees not otherwise covered under subsection (c)(1)(A) or (e)(2)(A) of
section 3313 of this title, which contributions shall be matched by equivalent contributions toward such costs by the Secretary. The program shall only apply to covered individuals described in paragraphs (1), (2), (8), (9), (10), and (11) of section 3311(b).