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English
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Russian
Nilpotent
UK
/nɪlˈpəʊtənt/
US
/nɪlˈpoʊtənt/
Translation nilpotent into russian
nilpotent
Adjective
UK
/nɪlˈpəʊtənt/
US
/nɪlˈpoʊtənt/
The matrix is nilpotent if its power equals zero.
Матрица является нильпотентной, если её степень равна нулю.
nilpotent
Noun
UK
/nɪlˈpəʊtənt/
US
/nɪlˈpoʊtənt/
In algebra, a nilpotent element is an element of a ring that becomes zero when raised to some power.
В алгебре нильпотентный элемент — это элемент кольца, который становится нулем при возведении в некоторую степень.
Definitions
nilpotent
Adjective
UK
/nɪlˈpəʊtənt/
US
/nɪlˈpoʊtənt/
Having the property that a certain power of the element is zero, typically used in the context of algebraic structures such as matrices or operators.
In the context of linear algebra, a nilpotent matrix is one that becomes the zero matrix when raised to a certain power.
nilpotent
Noun
UK
/nɪlˈpəʊtənt/
US
/nɪlˈpoʊtənt/
An element of a ring or algebra that, when raised to some power, results in zero.
In the matrix algebra, the matrix A is nilpotent because A^3 equals the zero matrix.