noun🔗Share幂零元 A nilpotent element."In this ring of matrices, the matrix A is a nilpotent, since A squared equals the zero matrix. "在这个矩阵环中,矩阵A是一个幂零元,因为A的平方等于零矩阵。mathelementChat with AIVocabulary GamePractice Reading
adjective🔗Share幂零的,零势的 (of an element x of a semigroup or ring) Such that, for some positive integer n, xn = 0."In this special type of algebra, the matrix "A" is nilpotent because when multiplied by itself three times (A³), the result is the zero matrix. "在这种特殊的代数中,矩阵“A”是幂零的/零势的,因为当它自己乘以自己三次 (A³) 时,结果是零矩阵。mathChat with AIVocabulary GamePractice Reading