Abstract: Secure Multi-party Computation（SMC） about which people have got some research findings at home and abroad has been a research focus in international cryptographic community recently，and this paper proposes a new protocol for the inverse of n×n matrices by using Oblivious Transfer 1 out of p protocol in the secure two-party computation environment.The protocol can be used to solve the problem securely and more efficiently.Then gives a new protocol for secure two-party linear system of equations based on it.

Key words: secure multi-party computation protocols, the inverse of n×n matrix, Oblivious Transfer 1 out of p protocol

摘要： 关于安全多方计算的研究国内外已有一些成果，并已成为密码学领域的热点课题。论文考虑在安全两方计算的环境下，利用不经意传输OT^p₁协议提出求解n阶矩阵逆的协议，它能安全并且有效地完成计算任务。以此协议为基础，给出了一个新的两方求解线性方程组的安全计算协议。

关键词: 安全多方计算协议, n阶矩阵的逆, 不经意传输OT^p₁协议