A Recursive Relation for the Determinant of a Pentadiagonal Matrix A recursive relation, relating leading principal minors, is developed for the determinant of a pentadiagonal matrix. A numerical example is included to indicate its use in calculating eigenvalues. CACM June, 1969 Sweet, R. A. pentadiagonal matrix, quindiagonal matrix, quindiagonal matrix, band matrix, determinant, characteristic polynomial, eigenvalues 5.14 CA690606 JB February 17, 1978 11:00 AM 1887 5 1887 1887 5 1887 1887 5 1887