本论文主要讨论矩阵的秩、矩阵和的秩Present paper main discussion matrix order, matrix and order, as well as between matrix product order arithmetic Using the matrix elemetary operation, between the homogeneous system of linear equations's coefficient matrix's order and its foundation system of solutions's relations, proved that some related matrix order the arithmetic nature, and carries on the promotion 算子起源于运算The operator stems from the operation, we meet each kind of mapping may call the This article gives the main line operator, the continual mold, concepts and so on light slip form, and using one kind of common Meyer-Knig-Zeller operator, have constructed one kind of new integral Meyer-Knig-Zeller operator, proved that it is the main line operator, and discusses this kind of operator using the second-order light slip form in LP space Will facilitate many through approximation by operator's multinomial discussion operator's