Publication Date:
1980-01-01
Description:
LetGF(pz)denote the finite field ofpzelements. LetA1bes×mof rankr1andA2bes×nof rankr2with elements fromGF(pz). In this paper, formulas are given for finding the number ofX1,X2overGF(pz)which satisfy the matric equationA1X1=A2X2, whereX1ism×tof rankk1, andX2isn×tof rankk2. These results are then used to find the number of solutionsX1,…,Xn,Y1,…,Ym,m,n〉1, of the matric equationA1X1…Xn=A2Y1…Ym.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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