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.