Ranked solutions of some matrix equations
A. Duane Porter, Nick Mousouris · Linear and Multilinear Algebra · 1978
Let GF(pz ) denote the finite field of pz elementsp odd. In this paper formulas are given for calculating the number of ranked solutions X 1,…Xn to the matric equations AX 1… Xn C = B and AX 1…Xn = B as well as the number of ranked solutions U1 ,…Un V 1,…Vm to the matric equation U 1… Un …Un AV 1… Vm = B.