In order to simplify the operation of matrix multiplications, the concept of primary transpositions is extends, and the concept of generalized primary transposition is proposed by which the method to computer the matrix operations is concluded.

• 摘要为了简化矩阵乘法的运算，本文对初等变换的概念进行了推广，提出了广义初等变换的概念，给出了用广义初等变换完成矩阵乘法运算的方法。