Question

帮忙翻译一下，谢谢啦

正定矩阵是一类特殊的矩阵，它在矩阵理论中占有十分重要的地位，同时也是二次型理论中的重要内容，因而研究正定矩阵的判定方法具有重要的理论意义和应用价值。本论文旨在探讨正定矩阵的判定方法，首先简单介绍正定矩阵定义以及性质；其次重点介绍经典的实对称矩阵正定的判定方法：定义法、正惯性指数法、矩阵合同法、顺序主子式法和特征值法。再次又将实对称矩阵的正定性推广到了一般实矩阵和Hermitian矩阵，并详细探讨其正定性的判定方法，以期达到较系统地了解矩阵正定性的判定方法的目的。
正定矩阵：positive definite matrix

Answer 1

Positive definite matrices are a special kind of matrix in matrix theory, it occupies very important position, is also the important content of quadratic theory, and study the positive definite matrix judge method has important theoretical significance and application value. This thesis aims to explore the positive definite matrix determination methods, first simply introduced the definition and the positive definite matrix nature; Secondly introduced classic real symmetric matrices positive definite judge method: definition method, is inertial index method, matrix contract law, order the master type method and the eigenvalue method. And again the real symmetric matrices is qualitative extended to a general Hermitian matrix matrix and discussed in detail, and it is qualitative determination method, in order to achieve a system to understand is qualitative judgement matrix method purpose.
Positive definite matrix: making definite matrix

Answer 2

分少了点哦，给50分以上就翻译了