Question: Name the school that joined the Big 12 between 2010 and 2013 but also was the only school in the nation in 2007 to win a BCS game, a NCAA Men's Basketball Tournament game, and a NCAA Women's Basketball Tournament game
Sentence (from "2010–11 VCU Rams men's basketball team"): They defeated Georgetown and Purdue in the second and third rounds, respectively, to advance to the "Sweet Sixteen".
Relevant evidence: No