There is no patriarchy or matriarchy in the garden; the two supervise each other. Adam is given no arbitrary power; Eve is to heed him only insofar as he obeys their Father--and who decides that? She must keep check on him as much as he does on her. It is, if you will, a system of checks and balances in which each party is as distinct and independent in its sphere as are the departments of government under the Constitution--and just as dependent on each other.