As your Range(r) Rover is a 2006 MY it will have a M.O.S.T (Media Oriented, System Transport) Fibre optic bus for the infotainment.
This is a great system, but it does have the downside of being an inter dependant chain with each ECU relaying the optic light from the predecessor in the chain. If any one goes off line, through loss of power or other fault, the whole bus goes down. There are ways to track and follow the chain to the offending ECU though.
However when this happens, the screen then typically displays only the LR logo.
You say you system is totally dead though, which is a bit different, as that sounds more like a problem with the Infotainment relay in the Boots RHS fuse box, which is controlled by the vehicles IHU (Intergrated Head Unit) and supplies power to many of the infotainment systems whenever it is turned on.
If you can better confirm your definition your definition of dead, i might be able to help you more.