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OK, it's not a real field position, but this matchup is incredibly relevant. Each coach is respected and possesses a winning record in bowl games. And then there is the oft-mentioned history between these coaches and their two teams.
California: Jeff Tedford
As head oach, Tedford is 79-47 overall and 5-2 in bowl games.
Before coaching at Cal, Tedford was the offensive coordinator for the University of Oregon. Under his leadership, the Ducks (and their offense) finished progressively better each year (to an 11-1 mark in 2001). Though this might hint at a preference for an offense-based team, since 2007, Tedford has spent most of his time with defense and special teams.
He led the 2006 co-champions of the Pac-10 and was the Pac-10 Coach of the Year in 2002 and 2004.
Texas: Mack Brown
As head coach, Brown is 226-110-1 overall and 11-7 in bowl games.
Before coaching at Texas, Brown served in myriad coaching roles back to 1973, when he worked at Florida State as a wide receiver coach. Since then he has been with nine other teams and was head coach for three of those (Appalachian State one year, Tulane two years and North Carolina nine years) before taking up the job at Texas in 1997.
He won one national championship in 2005, two Big 12 championships (2005, 2009) and was the Big 12 Coach of the Year in 2005 and 2009.
It would be silly to argue with those track records. While Brown may be more politician than coach (as some critics say), willing to delegate responsibilities and duties, it must be noted that he does such delegation with extreme skill, picking his assistant coaches wisely.
This season, Texas defensive coordinator Manny Diaz has worked magic to keep Texas afloat. Co-offensive coordinator and QB coach Bryan Harsin is not looking like that great of a pick, but he's also dealing with more problems.
At the same time, while Brown has had a lot of talent to work with, Tedford also seems to pull in a great deal of talent every year, only to finish with a middling record. You can only blame inconsistent quarterback play for so long before you start looking at the head coach.