复数圆矩阵圆数为3×3的特殊形状

Dewinta Mamula, N. Achmad, Resmawan Resmawan
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引用次数: 0

摘要

本文给出了3 × 3复循环矩阵幂的一般形式和3 × 3复循环矩阵特殊形式的整数幂的迹。首先确定3 × 3复循环矩阵特殊形式的整数幂的一般形式,然后确定3 × 3复循环矩阵特殊形式的整数幂的一般形式轨迹。证明是用数学归纳法完成的。本文的最终结果是在3 × 3复循环矩阵的特殊形式下,得到n个整数的矩阵A^n和tr(A^n)的一般形式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Matriks Circulant Kompleks Bentuk Khusus 3 × 3 Berpangkat Bilangan Bulat
This article identifies the general form of matrix power and trace of an integer power of Special Form of the 3 × 3 Complex Circulant matrix. The research begins to determine the general form of an integer power of Special Form of the 3 × 3 Complex Circulant matrix, followed by determining the general form trace of an integer power of Special Form of the 3 × 3 Complex Circulant matrix. The proof is done by using mathematical induction. The final result of this article is to obtain the general form of the matrix A^n and tr(A^n) for n integers in special form of the 3 × 3 complex Circulant matrix.
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