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A meaning can be given to the Leibniz formula provided that the order for the product is specified , and similarly for other definitions of the determinant , but non-commutativity then leads to the loss of many fundamental properties of the determinant , such as the multiplicative property or the fact that the determinant is unchanged under transposition of the matrix .
 person: Leibniz
Please list all entity words in the text that fit the category.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
Answer:
 person: Leibniz