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

§1.2

Ï ,123 '¤kü 123 (ó),132(Û),213(Û),231(ó),312(ó),321

a11a12a13

(Û),Ïd a21a22a23 =( 1)τ(i1i2i3)a1i1a2i2a3i3.

a31a32a33

a110···0 a 21a22···0

~.O :(1).D= =a11···ann.

············ a n1an2···ann

0···0a1n

0···an(n 1)0 2(n 1)

(2).D= =( 1)an1···a1n.

············ a00 n1···

:P56,1.2"1.^I ª'½ÂO e I ª' .

0b1000 00···0a1 00b002 a0···00 2 (1). =a1a2a3 an.(2). 000b30 =a1b1b2b3b4. 0a3···00 0000b 4 00···a 0n

a1a2a3a4a5

a 11a12a13a14a15 a21a22a23a24a25 (3). a31a32000 =0.

00 a41a420

a51a52000

2.!Ñ40I ª¥¤k KÒ ¹kÏfa11a23' .

3.y²:eQ n0I ª¥1u0'£ ' ê un2 n,uTI ª 0.

4.©yÀtiÚj,¦&(1)¥1274i56j9¤Ûü ,(2)¥1i25j4897¤óü .§1.3

1 ª 5

=( 1)τ(i1,i2,···,in)a1i1···anin(ØÓIØÓ a

11a12

£ 'È).kw ,n0I ª: =( 1)τ(i1i2)a1i1a2i2.

a21a22

n01 ª ½Â

a11a12···a1n a

21a22···a2n

D=

············ a

n1an2···ann

{zI ª'O , A S .XtòI ªD'I

p ,&¡ I ª'= & '5I ª,P D .