The authority claimed by John Marshall in this ruling is that the Supreme Court has the right of?

In this ruling, John Marshall asserted that the Supreme Court has the authority of judicial review, which allows it to invalidate laws and executive actions that are deemed unconstitutional. This principle established the Supreme Court as a key arbiter of the Constitution, reinforcing its role in maintaining the balance of power among the branches of government. Marshall's decision underscored the judiciary's responsibility to ensure that no law contravenes the Constitution, thereby solidifying its influence in American governance.