© The Institution of Electrical Engineers
The matrices relating two adequate systems of simple network coordinates of the same network, e.g. nodepair voltages or loop currents, are shown to have all their elements and subdeterminants equal to +1, −1 or 0. Any nport may be looked upon as a part of an adequate system of independent node pairs described on the network or loops inscribed into the network. In the former case the additional node pairs, not included in the nport, ought to be considered as opencircuited and in the latter case the additional loops ought to be looked on as shortcircuited. The conditions for cutset and loopincidence matrices are discussed, and then the conditions for impedance and admittance matrices of nports without ideal transformers are defined in terms of those incidence matrices. The discussion of the conditions thus derived leads, among other things, to a conclusion that matrices representing pureresistance nports are necessarily such that each principal minor of such a matrix is greater than the modulus of any minor built from the same rows (or columns).
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