This is one of the easiest things in the world to do - since Android is just a program running in Linux. Install
Terminal Emulator for Android, and you're at the console in Linux. It's already "installed". There are emulators for Android (based on QEMU), but on the fastest phones, they barely creep, because QEMU is slow.
If you need something that's more fully Linux, install one of the Busybox apps available in Play. (Some require root to install, some don't, so read first. And some Linux utilities you get with any Busybox require root.) That gives you some of the utility files that aren't included in the normal Android kernel.
(Unfortunately, the Transformer isn't one of the very few Android devices running an X86 CPU, or you could just install Linux the same way you'd install it on any computer.)
Or ... you could go the other way and dual-boot the Dell, so it runs Windows or Linux at your choice. See
https://ubuntuforums.org/ if you need any help with that. (Or you could install
VirtualBox on the Dell and install Linux to that, so you could be running Windows and Linux at the same time.)