07线性代数讲义[1](6)

大学线性代数讲义前面有对知识的讲解,后面是习题。便于理解。不想挂科的同学们的必备之物

y².D= ( 1)τ(i1,···,in)aa

1i1···(jij+ajij)···anin

= ( 1)τ(i1,···,in)a1i n)1···ajij···aniτ(i1,···,in+( 1)a1i1···a jij···anin.¤±þª¤á.2

íØ1.12e1 ªkü1éA1¤'~,u1 ª ".

5 1.131 ª', 1( )\þ, 1'k ,u1 ª' ØC.y².dS 1.11ÚíØ1.12

&.2~.O D= 1201 132

50 015 .

36 1 234 5

0

1 A.D=1

1201

12

23100

1

0 110 2 1201 03518 =

03

518 0 110 2 = 515 003512 1201 1015

4

00 1201 1

0015 1

=1 0 110 2 0 110 30 0 =1

2 1

0514 30 00514 30

(( 1)×5×( 43))=

=0015 1 000 42 1

43.5.þãIn,o,Ê,8 1Ò'O v§ g´:I I~ I I'

!Ó IoI~ I I'Ê!;InI\þI I'n!;InI~ IoI' !;IoI~ InI' n!. xaa···a

:O n0I ªD axa···a ~n= ··············· ··············· aa···ax x+(n 1)aaa···a

x+(n 1)a00···

x+(n 1)axa···a 0x ···A.D= ···············

a0 ···· ··············· =

··········· x+(n 1)aa···ax ········· 00···

=(x+(n 1) a)(x a)n 1.

a1+b1b1+c1c1+a1 a1b1c1 ~:y² a 2+b2b2+c2c2+a2

ac =2 a2b2c2 .

3+b3b3+c33+a3 a3b3c3

0 0

··· ···

x a