i hope your warranty was expired, 'cause you just voided it if it wasn't..... samsung has a lot of high speed rectifiers that go bad, as well as capacitors that go bad. if you don't know how to properly pick a replacement diode (that's the black things with the stripe on one end) or check the caps (the beer can shaped things next to the diodes) i don't recommend you try it. transformers do occasionally go bad, but are not as likely as the caps or diodes. judging by the discoloration of the circuit board around the two diodes standing up, and the fact that the marker ink dots on the tops of the caps is bubbled up, i would suspect diodes and caps first. you might want to take this one to someone with some experience with switching supplies. if the transformer is whining and not chirping, then the overcurrent circuit isn't shutting down the switcher, and that could be yet another problem.
too bad.... the date code on the transformer is March 2008. if you had more than a 1 year warranty, or you bought it less than a year ago, you lost out. if it was a 1 year warranty and you bought it more than a year ago, it would be a COD repair anyway.