An eigenvalue approach evaluating minors for weighing matrices W(n,n-1)

In the present paper we concentrate our study on the evaluation of minors for weighing matrices W(n,n-1)W(n,n-1). Theoretical proofs concerning their minors up to the order of (n-4)×(n-4)(n-4)×(n-4) are derived introducing an eigenvalue approach. A general theorem specifying the analytical form of any (n-l)×(n-l)(n-l)×(n-l) minor is developed. An application to the growth problem for weighing matrices is given.