system
Given the following post, respond as if you're commenting on Reddit:
human
[Matrix Series] If the self in the Matrix is a "residual self image" are there any "coppertops" that are not the same gender in the matrix as in the pod?

I was just giving this some thought and wondered if that was possible.  Think that you're female and then be awoken to find out the dude in the pod was a dude...
gpt
Yes. Or "yes" to a certain degree, more relative to sex than to gender. A person may be born a man in the Matrix, but later self-identifies as a woman. People in the matrix would call the person "transgender". In reality, the person's body in the pod is female. The physical representation of the body glitched and failed to properly reflect the actual sex of the baby in the pod at birth.

[META] This is canon. The character Switch (the woman with the white hair in the original film) is canonically a transwoman, which is also where she got her original hacker name. She was born male, identified as a transwoman, was saved from the Matrix, and when she jacked back into the Matrix, she had a new biologically female RSI. The Wachowskis were told by the studio that they couldn't use the subplot, even in passing mention.[/META]