PageHeader : Funkcialaj Ekvacioj, 26 (1983), 155-171 Title : On the Determinant of Matrices of Ordinary Differential Title : Operators and an Index Theorem* AuthorInfo : By AuthorInfo : Masatake MIYAKE AuthorInfo : (Nagoya University, Japan) section : Introduction. section : 1. Determinant of matrices. section : 2. Characterization of matrices with non-vanishing determinant. section : 3. Characterization of the well-defined Cauchy problems. section : 4. An index theorem. section : 5. Examples. section : References