I am not sure if TI-84 will work. PS3JB was designed for TI-84+ and TI-89 but to downgrade with either one of those calculators, read up on that article. Make a full backup of your PS3 hard drive before attempting.
Afterwards, keep PS3JB on your Ti-84+/89 and load Hermes v4 or PSN Hermes if you plan on playing games that require 3.50 (GT5, Split Second, NFS Hot Pursuit not working with PSN Hermes yet).
Then go into options for PS3JB and set Hermes v4 or PSN Hermes as the first payload. No second payload required.
Start the jailbreak and hook if you want. Once you can install pkg files, download and install Gaia Manager or Open Manager, and PS3 FTP on the PS3. Use a FTP client like Filezilla to transfer your games to hdd\gamez\
Once finished transferring, open OpenManager, insert any original game, pick your game, press x, watch it go back to XMB and go to the blu ray icon. It will become the backup game.