CAJ | 학술논문

利用矩阵的行初等变换与向量方程，运用反证法给出了矩阵行标准形定理的1个新的证明方法．本文结果为线性方程组的系统理论的教学可在行列式、逆矩阵、向量线性相关与秩的理论之前进行奠定了理论基础，可作为文献[1一tO]在处理矩阵行标准形定理时的1个补充．
이용구진적행초등변환여향량방정，운용반증법급출료구진행표준형정리적1개신적증명방법．본문결과위선성방정조적계통이론적교학가재행렬식、역구진、향량선성상관여질적이론지전진행전정료이론기출，가작위문헌[1일tO]재처리구진행표준형정리시적1개보충．
Using matrix row elementary transformation and vector equations, we gave a new proof method of a row canonical form theorem of matrixes by reduction to absurdity. It laid a theoretical foundation for teaching the theory of linear equations systems before the theories of determinant, inverse matrix, linear dependence of vector and rank. The results show that it can be used as a supplement to handl the theorem in references [1-10].