【摘要】 对拟阵S(M1,M2)与P(M1,M2)的基及其应用进行了研究。用CS的定义证明了B∈B(S(M1,M2))的充分必要条件。用基的相互关系证明了r(S(M1,M2))和r(P(M1,M2))的计算公式,并由此推出:(1)P(M1,M2)*=S(M1*,M2*);(2)若M/p=M8M,则M=P(M-E(M),M-E(M))。更多还原

【Abstract】 The bases of matriods S(M1,M2) and P(M1,M2) with their applications are studied.The necessary and sufficient condition of B∈B(S(M1,M2)) is proved by the definition of CS.The computational formulations of r(S(M1,M2)) and r(P(M1,M2)) are proved by the relations of different bases,And then two propositions as follows are derived:(1)[P(M1,M2)]=S(M1,M2);(2)if M/p=M1⊕M2,then M= P(M-E(M1),M-E(M2)).更多还原