Matriks Circulant Kompleks Bentuk Khusus 3 × 3 Berpangkat Bilangan Bulat

Dewinta Mamula; Novianita Achmad; Resmawan Resmawan

doi:10.24198/jmi.v17.n2.34441.109-118

Matriks Circulant Kompleks Bentuk Khusus 3 × 3 Berpangkat Bilangan Bulat

Dewinta Mamula, Novianita Achmad, Resmawan Resmawan

Abstract

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.

Keywords

matrix power, trace of matrix, Circulant matrix, complex number, mathematical induction

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DOI: https://doi.org/10.24198/jmi.v17.n2.34441.109-118