Open AccessDETERMINAN SUATU MATRIKS TOEPLITZ K-TRIDIAGONAL MENGGUNAKAN METODE REDUKSI BARIS DAN EKSPANSI KOFAKTOR
Author(s) -
Rasmawati Rasmawati,
Lailany Yahya,
Agusyarif Rezka Nuha,
Resmawan Resmawan
Publication year - 2021
Publication title -
euler
Language(s) - English
Resource type - Journals
eISSN - 2776-3706
pISSN - 2087-9393
DOI - 10.34312/euler.v9i1.10354
Subject(s) - tridiagonal matrix , toeplitz matrix , tridiagonal matrix algorithm , mathematics , matrix (chemical analysis) , band matrix , pure mathematics , chemistry , physics , symmetric matrix , square matrix , quantum mechanics , eigenvalues and eigenvectors , chromatography
This paper discusses the determinants of a k-tridiagonal Toeplitz matrix using row reduction and cofactor expansion methods. The analysis was carried out recursively from the general form of the determinant of the tridiagonal Toeplitz matrix, the determinant of the 2-tridiagonal Toeplitz matrix, and the determinant of the 3-tridiagonal Toeplitz matrix. In the end, the general form of the determinant of the k-tridiagonal Toeplitz matrix is obtained.