trace
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… c n ＝(－1) n ×(determinant of A ), and if the ( i , j ) component of A is a i j , then. is called the trace of A. A is regular when c n ≠ 0, and in this case, A －1 ＝－ c n －1 ( A n －1 ＋ c 1 A n －2 ＋……＋ c n －2 A ＋ c n －1 I ), so the above result can also be used to calculate the inverse matrix. … From [Number Theory of Algebraic Number Fields]…Also, is called a field conjugate to K. For α, is called the trace and norm of α, respectively. Important examples of algebraic number fields are quadratic fields and cyclotomic fields. … *Some of the terminology that mentions "trace" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
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…cn＝(－1)n×(Aの行列式)であり，Aの(i,j)成分をaijとすると，である。をAのトレースtraceという。 Aが正則なのは，cn≠0のときで，このとき， A－1＝－cn－1(An－1＋c1An－2＋……＋cn－2A ＋cn－1I)であるから，上の結果は逆行列の計算にも利用できる。… 【代数体の整数論】より…またをKに共役な体という。αに対して，をそれぞれ，αのトレースtrace，ノルムnormという。 代数体の重要な例として，二次体，円分体がある。… ※「trace」について言及している用語解説の一部を掲載しています。 出典｜株式会社平凡社世界大百科事典 第２版について | 情報 |
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