07线性代数讲义[1](2)

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

§1

§1.1

n01 ª ½Â

1 ª

(1).10I ª| (a)|=a

a 11a12

(2).20I ª =a11a22 a12a21

a21a22

12

~X =4 6= 2

34

a11a12a13

(3).30I ª a21a22a23

a31a32a33

=a11 a22a33+a12 a23a31+a21a32a13 a31a22a13 a21a12a33 a12a23a31

2 12

~X 110 =2

312 123 246 =0 312 (4)p0I ª

ds 5'Vg:

½Â1.1d1,2,···,n|¤' kSê|.i1,i2,···,in ¡ n?ü , 1,2,···,n ¡ n?IOü .

~X:1,2,3,4 2,1,4,3 2,3,1,4þ´4?ü .

½Â1.2 i1,i2,···,in´ n?ü ,Xts<s is>is ,@o¡is is ¨¤ _S. ü '_Soê, ¡ ù ü '_Sê.P τ(i1,i2,···,in)

ü Ñy = _ _ ê 12345 Ã0 ~: 13245(32)1

(42),(43)2 14235

14352(43),(42),(52),(32)4 ½Â1.3Xt_Sê´óê,@o¡ù ü óü ;Xt_Sê´Ûê,@o¡ù ü Ûü .

½n1.4n?ü ²v gé  & '_SêUCÛó5.

y².#i1,i2,···,in´n?ü ,²véxis is+m& j1,j2,···,jn

yyτ(i1,i2,···,in) τ(j1,j2,···,jn)ØÓÛóSµ¨m=1 @Øw,¤á.