verified etymologyen
matrix
māter
mother
-trīx
agent / vessel suffix
womb — the breeding source
The Matrix means the womb, not the prison. Latin mātrīx was ‘breeding-female, womb’, and in Late Latin ‘source, origin’ — all from māter, mother. ‘Generative source’ isn't a metaphor laid on top; it's the literal word.
source · Latin mātrīx < māter ‘mother’; Late Latin ‘source, origin’ — etymonline.com/word/matrix