Abstract: | It is proved that all relations between the invariants of several n x n-matrices over an infinite field of arbitrary characteristic follow from σn+1,σn+2,... where σi is the ith coefficient of a characteristic polynomial extended to matrices of any order ≥i. Similarly, all relations between the concomitants are implied by Xn+1, Xn+2, …, where Xi is a characteristic polynomial in the general n x n-matrix, also extended to matrices of any order. Supported by RFFR grant No. 95-01-00513. Translated fromAlgebra i Logika, Vol. 35, No. 4, pp. 433–457, July–August, 1996. |