The brief proof is given for " row elementary operations keep the linear relationship of column vectors of matrix " , by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation 摘要利用初等矩阵与初等变换的对应关系及分块矩阵的乘法，给出“矩阵的行初等变换不改变其列向量组的线性关系”的一个简易证明。
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。
