Can any one give proof of the determinant based solution to 'n' nos. linear simultaneous equations ? If not, can anyone give proof of the following which ultimately will give the proof of the solution by induction method.
Determinant [A11...Arr] = Det.[A11...A(r-1)(r-1)] x Det.[A22...Arr] - Det.[A21...Ar(r-1)] x Det.[A12....A(r-1)r]
K.A.Sharma