MERUMUSKAN POLINOMIAL KARAKTERISTIK DARI MATRIKS LUCAS-SYLVESTER-KAC
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Date
2023-11
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Elfitra
Abstract
This article discusses the formula determinant for the Lucas-Sylvester-Kac matrix
of order n × n. In addition, this final project also aims to show how the Lucas-
Sylvester-Kac matrix satisfies matrix centrosymmetric form for determine charac-
teristic polynomial,eigenvalues of Lucas-Sylvester-Kac matrix of order n × n. This
final project also considers two cases, namely when the Lucas-Sylvester-Kac matrix
has even order n and when the Lucas-Sylvester-Kac matrix has odd order n.
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Keywords
centrosymmetric matrix, Sylvester-Kac matrix, Lucas number, determi- nant, and characteristic polynomial
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