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How do I prove that the determinant is the only function that has the properties of the determinant (multilinearity, being alternating, $\det(I)=1$).

In my notes we started to prove it like: suppose there is another such function (say $g$)... But from then on I can't make sense of it.


marked as duplicate by mathcounterexamples.net, Community Dec 14 '15 at 21:42

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