ZERO COMMUTING MATRIX WITH PASCAL MATRIX

In this work we study 0-commuting matrix C(0)under relationships with the Pascal matrix C(1). Like kth power C(1){^k} is an arithmetic matrix of (kx+y){^n} with yx=xy (k ≥ 1),we express C(0){^k} as an arithmetic matrix of certain polynomial with yx=0.