The Study of Some Properties of a Circulant Matrix

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Mulyono, Abil Mansyur

2022 AIP Conference Proceedings Vol. 2659 Conference paper Cited by 1 Quartile

Abstract

Circulant matrix is a matrix of size nxn where the ith row elements for i = 1,2,3, .., n are obtained by shifting the first row elements to the right as much as i − 1 steps. The general form of the circular matrix can be expressed as follows . . Cnxnc ccn01-1c c1 0c c1 2cc cn1 0-1cn-1c0. . cn-1This paper aims to study some of the properties of the transfosed circulant matrix from which the circulant matrix is circulant, the product of the circulant matrix is the circulant matrix and the circulant matrix is the normal matrix. Furthermore, the circular matrix can be diagonalized. © 2022 American Institute of Physics Inc.. All rights reserved.

Affiliations

Mathematics Study Program Faculty of Mathematics and Natural Sciences, Medan State University, Medan, 20221, Indonesia