Hello. I tried doing something similar with two 9v batteries and 7812. I tried putting the negative voltage of the second 9v into the 7812's ground ( the middle pin ) and it did not work. But after seeing your reply in this thread, I tried the center point of the two batteries, only then did it work.the 7812 will work (you are missing some capacitors) but the 7912 will not work. You need a power supply the will have 24v between the +12 and -12.
You cannot connect a negative voltage regulator (7912) to a positive line and get a negative voltage from it.
You would need 2 12v batteries in series to get your +12 and -12 with the center point of the 2 batteries being ground.
May I ask how and why this works?
Mod: link to old thread.
https://forum.allaboutcircuits.com/threads/12v-dc-supply-using-9v-battery.42666/post-274807
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