The easy way:
You can install linux chrooted on most android tablets without even rooting the tablet. Then you connect to the linux distro through VNC. Its apparently slow.
Check out this page for a
description of the different ways you can run Linux on a tablet.
The hard way:
Google Linux tablet native install. or N8000 native install or whatever.
I've got a samsung N8000. I've seen websites where people have done it.
However installing linux on tablets natively without the proper drivers etc tends to have drawbacks, like poor battery life, some of the hardware doesn't work, etc.
This used to be kind of important to me... but then since having a tablet for many months I really like the tablet for what it works really well for.
I download youtube clips onto my PC, then browse a list of them on my local apache. Then I watch them in VLC media player.
Or I read ebooks with Quoppa. Or I browse the web.
Don't expect to be able to write code on your tablet. Onscreen keyboard is a real pain for that.
There is some programmers keyboard app but its pretty crap.
I think there's still more cool stuff to be done with linux on a tablet but right now I've got better things to do. ATM I just use the tablet for what it can do easily and well.
You can download all kinds of apps on the play store like terminal emulators and SSH clients and so on.
I haven't found a real need for running a proper linux install on my tablet yet.
Its true that android is linux again since the 3.3 linux kernel.
Check out the PengPad. It looks like a promising tablet for linux hackers.
http://news.cnet.com/8301-17938_105-57607241-1/can-a-$249-android-linux-hackers-tablet-take-flight/
Another thing to keep an eye on is Ubuntu.
The Samsung Galaxy N8000 Native Ubuntu port is making good progress
https://wiki.ubuntu.com/Touch/Devices/n8000
http://forum.xda-developers.com/show....php?t=2168999
Here is Ubuntu's tablet page
http://www.ubuntu.com/tablet
Its just a matter of time before this project makes further progress.
Its kind of like
Rockbox for The Sansa clip+ (and other, less awesome mp3 players).
Let me know if you have any cool news or recommendations.