Being a tablet, it makes a lot more sense to run Ubuntu on the ASUS Tranformer Prime than on a smartphone. Of course, that hasn’t stopped people from porting the popular Linux distro to the HTC Desire, for example, and for the old Windows Mobile devices, getting Ubuntu to work was a stepping stone for Android ports – a process probably best illustrated with the HTC HD2.
Anyway, forum member zedomax has created a step-by-step tutorial which explains how to install Ubuntu on the Transformer Prime. Due to limitations of VNC, which is used to connect to Ubuntu from within Android, the GUI is quite slow, but the command-line shell interface is working very well, helped in no small part by the quad-core processor found in the Prime which makes it run much faster than on a Samsung Galaxy Tab, as the dev notes.
However, you can get a lot done in shell – like, say, running a web server in the background, or even compiling Android kernels right from the Android tablet – so if you’re interested, check out the forum thread which also includes a video for your viewing pleasure._________