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Definitions from the WebNilpotentAdjective: Having the property of being raised to a power equal to zero, resulting in the value of zero. Example sentence: The matrix A is nilpotent, as when raised to the power of n, where n is the dimension of A, the resulting matrix is the zero matrix. Noun: An element in a mathematical group where a certain power of the element equals the identity element of the group. Example sentence: In the group of integers modulo 12 under addition, the element 6 is nilpotent as 6 + 6 + 6 = 0 (mod 12). Related products on Amazon: | ||||
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