This final project discusses the formula determinant and characteristic polyno- mial for the Lucas-Sylvester-Kac matrix of order n n. The solution is obtained by using the application matrix centrosymmetric form, and in 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. Characte- ristiā¦