File talk:Penrose det ST.svg
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This diagram is wrong. The last 2 steps should have an additional 1/n! term.
The correct proof is:
det(AB) = 1/n! |=AB=| = 1/n!^2 |=A=|=B=| = 1/n! |=A=| 1/n! |=B=| = det(A) det(B)
where |=...=| is my ascii shorthand for the diagramatic part.
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