It's still not faster than the others, but not far from the loop. You'll see more performance gains when the function is more complicated.
If you know of a working example I could base this off I would love a to see and be indebted. I've also thought of some more ideas to try. 
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are you sure you mean itertools.product?
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you actually can use itertools.combinations as it does what I meant more directly. product would be used on lists of indices, not the matrix
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I am actually completely stuck — sorry. Maybe if you have time we could chat, but otherwise I don't understand at all.
End of conversation
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