This technique may also be useful for the Dragon Armour quest, if Sir Patrick will not let you bring up the subject. Sometimes he is just stubborn, and repeatedly going back to talk to the dwarven king and Grisha then back to Sir Patrick (multiple times) will get him to talk about it.

If that fails, you may be able to use a dialogs.000 file (21KB) from a save where I get the option to ask him about the armour. Make sure you backup your original file and restore it afterwards, as described above. I have not run into this bug and can not do anything to cause it, so have not tested this. In theory, it should work though.

Save your game under a new name, backup your dialogs.000 file and replace with mine, re-load, talk to Sir Patrick and do his quest (without talking to anyone else besides Lucius, or doing parts of any other quests), get the armour, save under a new name, delete the dialogs.000 file in that folder and replace with the backup of your original file, re-load.

If this fails, you can still download the inventory files for the Dragon Armour, but you will miss the experience and completed quest that way.
Lost Items - guide and directory of inventory files