數(shù)二---基本知識點

1、數(shù)二——基本知識點DeranPan2017.8.11一、運算規(guī)則....................................................................................................................................................12二、特殊矩陣................................

2、....................................................................................................................12三、可逆矩陣................................................................................................

3、....................................................12四、秩................................................................................................................................................................13第

4、三章向量................................................................................................................................................................13一、線性表出、線性相關、極大線性無關組...................................

5、..............................................................13二、施密特正交化............................................................................................................................................13三、正交矩陣

6、....................................................................................................................................................13第四章線性方程組..............................................................

7、......................................................................................14一、克拉默法則.............................................................................................................................

8、...................14二、齊次線性方程組、基礎解系....................................................................................................................14三、非齊次線性方程組、通解結構....................................................

9、............................................................14第五章特征值、特征向量、相似矩陣....................................................................................................................14一、特征值、特征向量..............

10、......................................................................................................................14二、相似矩陣..............................................................................................

11、......................................................14三、實對稱矩陣................................................................................................................................................15四、矩陣、特征值、特征

12、向量........................................................................................................................15五、判斷A是否相似于對角....................................................................................

13、........................................15第六章二次型............................................................................................................................................................15一、二次型.........

14、...............................................................................................................................................15二、標準型......................................................................

15、..................................................................................15三、規(guī)范型...................................................................................................................................

16、.....................15四、化二次型為標準型，規(guī)范型....................................................................................................................15五、合同.............................................................

17、...............................................................................................16六、慣性定理.....................................................................................................................

18、...............................16七、實對稱矩陣A、B合同的充要條件...........................................................................................................16八、正定.........................................................

19、...................................................................................................16九、正定陣性質................................................................................................................