CD Skripsi
Menentukan Spektrum Dan Determinan Dari Generalisasi Matriks Sylvester Dengan Entri Diagonal Utama Silih Berganti
This final project discusses the generalization of the Sylvester matrix of order (n+1) (n+1) with main diagonal alternating x and x, its upper subdiagonal n, (n 1), . . . , 1 while its lower subdiagonal 1, 2, . . . , n. The proof is carried out by partitioning the matrix into 2 2 block matrices, which are divided into two cases namely when n is odd and when n is even. This matrix partition aims to determine the spectrum and determinant of the generalized Sylvester matrix.
Keywords: Tridiagonal matrix, Sylvester matrix, spectrum, determinant
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