How did the outcome of Marbury v. Madison affect the relationship of the three branches of government?

Chief Justice Marshall's opinion in Marbury v. Madison strengthened the Supreme Court and elevated the Judicial Branch's power to co-equal status with the other branches of government by giving them a tool (judicial review) to apply as a check and balance on the other branches of government.

It also annoyed President Jefferson tremendously.

Case Citation:

Marbury v. Madison, 5 US 137 (1803)