中科新闻网壮士出征的主题曲:求助！英文好的高手请进！帮翻译个摘要
来源：百度文库 编辑：中科新闻网 时间：2024/04/29 17:26:03
矩阵理论是代数理论的一个重要的内容，在自然学科各分支和经济管理等领域，它也是数学有力的工具之一。矩阵相似性又是矩阵理论的极重要一块，开展对矩阵相似性的研究有着重大意义。
在文中首先给出了矩阵及其相似性的定义、定理及其性质，矩阵相似的条件等，并给予充分证明。在矩阵的运算中运用矩阵相似性的相关概念可以使计算变得更简单明了。其次给出了几种矩阵相似的判定法则，矩阵相似与特征矩阵等价由此引出了初等因子，不变因子两个相关概念。最后将矩阵相似性应用在多个方面。如：利用矩阵的相似性使得对角矩阵方面的运算更简单化，以及利用矩阵的相似性来确定运算题中的矩阵中的未知元素等。矩阵相似性也可以用在特征向量的计算方面，这里通过证明两个相似矩阵属于同一特征值的特征子空间同构体现了矩阵相似性在矩阵计算方面的广泛应用。
原文翻译为：
The matrix theory is an algebra theory important content, in natural domain and so on discipline various branches and economical management, it also is one of mathematics powerful tools. The matrix similarity also is matrix theory side important at the same place, develops has emphatically the big significance to the matrix similar research. Has first produced the matrix in the article and its the similar definition, the theorem and its the nature, the matrix similar condition and so on, and gives the full proof. Was allowed to cause the computation in the matrix operation using the matrix similar related concept to change simply is bright. Next produced several kind of matrices similar determinations principle, the matrix equally in value from this has similarly drawn out the elementary divisor with the characteristic matrix, invariant factor two related concepts. Finally matrix similarity application in many aspects. For example: Causes the diagonal matrix aspect using the matrix similarity the operation simplification, as well as using the matrix similarity determined transports in the mathematics problem in the matrix unknown element and so on. The matrix similarity also may use in the characteristic vector computation aspect, here through proved two similar matrixses belonged to the identical characteristic value the characteristic sub- space isomorphism to manifest the matrix similarity in the matrix representation aspect widespread application.
译文如下：
take it easy!