I have Samsung LCD 650 TV that makes clicking sounds and it won't turn on at all.
I research the issue on Google and there is solution, search by the subject and you will see more detail links.
This is my issue, it could be yours also.
I purchased 1000uf 10v Capacitor 105c High Temp, Radial Leads from Amazon paid $2.77 + Free shipping
Check yours before purchase, you need to know the uf and volt.
you need Soldering tool.
This is just checking the fuse, if anything wrong.