Sponsored Links
This presentation is the property of its rightful owner.
1 / 228

第一节 二阶与三阶行列式 PowerPoint PPT Presentation


  • 115 Views
  • Uploaded on
  • Presentation posted in: General

第一节 二阶与三阶行列式. 线性代数. 扬州大学数学科学学院. 一、二阶行列式的引入. 用消元法解二元线性方程组. 方程组的解为. 由方程组的四个系数确定. 由四个数排成二行二列(横排称行、竖排 称列)的数表. 定义. 即. 二阶行列式的计算. 对角线法则. 主对角线. 副对角线. 对于二元线性方程组. 若记. 系数行列式. 则二元线性方程组的解为. 注意 分母都为原方程组的系数行列式. 例 1. 解. 二、三阶行列式. 定义. 记. ( 6 )式称为数表( 5 )所确定的 三阶行列式. . 列标. 行标. 三阶行列式的计算.

Download Presentation

第一节 二阶与三阶行列式

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript




.




.


1


65.


.

(1)


(2)

1


2.

3!,,

,,

.






:



3


4


:


.



,




123

1 2 3

3

1

2

3

3

1

2

1

2

1

1

2

3

.


.

.


.

, n .

32514

3 2 5 1 4


.

32514

3 2 5 1 4

3

1

3+1+0+1+0=5.


.

;

.

1


2

.

132514.

32514,

3,0;

223,1;


55,0;

113,3;

441,1;

3 2 5 1 4

32514


2.

.


.


.


1

2.

3 2 .


16352487.


1

1 6 3 5 2 4 8 7

2

.


n


1

2


3


n


2 ;

3 ;

4 ;

5

1;


,

1


2



3



4


,.


5



2 ,.

1 .



,


n


1

2


3


n


2 ;

3 ;

4 ;

5

1;


,

1


2



3



4


,.


5



2 ,.

1 .



,



.

1.


D


,

,

.

2,.


,

,


.


3 .



5.

D


()




2


3



(,).

6

(1);(2)




()





,

,







1


2

(Vandermonde)


n-1







1. .





;

.





,

,


,

.


1 , .

2

.


.


,

.

.


1


2


3


.


1.

(1);

(2).

2.

..


,

???


,.





1

2



n


n


















n






1



1







n








12

7082

64100.6

7051.4

2314930


13



(440)


(918)


(9)


(824)


(9)



  • Login