Theres been guides on how to solo ICC trash as a rogue, but not as an arcane mage. First off the amount of gold you will get from this is purely on luck, for it took me 22 runs in order to get Stiffened Corpse Shoulderpads - Item - World of Warcraft which sold for 8k gold on my server.
Set the difficulty to 25man and find someone to be in a raid group with you
1 As an arcane mage set targets to both mobs.
2 Pull them and you want to lure them in front of the 3 guards in the center.
3 Frost nova them then use invincibility.
4 If they reset you may want to pull them when the 3 guards are attacking an existing mob, it seems to be easier that way.
5 Start pounding your rotation on the mob that that is getting attack, rinse and repeat.
*Survivability* If you by chance pull aggro on 1 of the 2, you have 3 ways to reset aggro:
Mirror Image, Ice block, or just simply leaving and re-entering the instance. I suggest leaving and re-entering the instance only if the mobs are at a high hp.
*video*
YouTube - Arcane Mage Solo ICC Trash BoE Epics