On Kronecker-Capelli type theorems for infinite systems
Foma M. Fedorov, Потапова Саргылана Викторовна · AIP conference proceedings · 2017
On the basis of the new concept of the decrement of an infinite matrices and determinants, we studied the inconsistency of a general infinite systems of linear algebraic equations. We proved the theorem on inconsistency of a infinite system when the decrement of its matrix is nonzero.