英语强人来。。。好大一段翻译。200分！！！

来源：百度知道 编辑：UC知道 时间：2024/06/06 14:24:21
矩阵的初等变换起源于解线性方程组的三类同解变换, 即交换两个方程的位置; 给某一个方程乘以一非零数 c(这里 c∈F); 给某一个方程乘以数 k (k∈F)加到另一个方程等. 我们知道, 一个线性方程组是与它的增广矩阵唯一对应的, 因此, 当矩阵的初等变换这一概念提出后, 解一个线性方程组就等价于利用矩阵的初等变换来化简一个增广矩阵, 而这一转化过程无疑对解线性方程组会带来方便. 至此, 矩阵的初等变换似乎已完成了它所要承担的“任务”,但事实远非如此. 随着矩阵理论的发展, 新概念不断产生, 新的问题也随之产生, 如求解矩阵的秩, 化二次型为标准形以及求矩阵的特征值和特征向量等,尽管这些问题也可以通过别的途径解决, 但当我们利用矩阵的初等变换来处理上述问题时, 往往会感到简洁易行, 甚至会得到比用这些定义本身去解决相应问题时更好的方法。

关键词：初等变换；矩阵理论；应用；作用

帮忙翻译，做毕业论文。。这年头，大家都不容易。汗自己一个~

再次拜谢！！！

看看行不行，尽力了。

Elementary transformation of the matrix is originated from Solution of linear equations with three types of solutions transform；To a certain equation multiplied by the number of non-zero-c (where c ∈ F);To a certain equation multiplied by the number of k (k ∈ F) added to the equation another, and so on.We know that A system of linear equations is the the only corresponding to itsaugmented matrix； for that reason，after the concept of matrix of elementary transformation puts forward,a solution of linear equations is equivalent to the use of the matrix of elementary transformation to a simplification broaden matrix. This transformation process will be no doubt convenient on the solution of linear equations. Thus, matrix elementary transformation seems to have completed its commitment to the "mission",but this is far from it. With the development of matrix theory, new concepts continue to be produced , new problems also appear, such as solving the Matri