I have recently got Core Linux, and am having trouble setting the resolution to 1920x1080 (my native resolution). I have not got a /etc/default/grub directory, nor have I got a UI. My question is, how can I make the console run in 1920x1080 resolution. This is what I get when I boot up:
Currently I have no extensions loaded, and it can't seem to find xrandr.

dmesg | grep -i vga?VGA +80x25, certainly from the BIOS. The kernel did not even bother trying to identify the video card. My bet is that core linux will be too small for your machine, not enough drivers to cover the hardware.