The Size of {(P,Q)∈GF_s(q)×GF_n(q)|PAQ=B} in Finite Field
Wang Jun · Shuxue de shijian yu renshi · 2001
Let A?B be two matrices ordered s×n over finite field F , and their ranks are r , then there exists invertible matrice P ordered s and Q ordered n satisfying PAQ=B . This paper try to find the number of (P,Q) that satisfies PAQ=B .