1.2-1.4 行列式的性质(6)
发布时间：2021-06-07
Air
|A|
r
r 1
r 1
r 2r
···,1
2
1
r 1
|B|,
a1r a2r
|B|= ···
anr
a11a21···an1a12a22···an2············
a1n a2n ··· ann
( 1)r 1|A|=|B|=a1rN11 a2rN21+···+( 1)n+1anrNn1
=a1rM1r a2rM2r+···+( 1)n+ranrMnr
|A|=( 1)1+ra1rM1r+( 1)2+ra2rM2r+···+( 1)n+ranrMnr=a1rA1r+a2rA2r+
···+anrAnr,
Ni1,Mir
|B|
|A|
2
1 0 a21
|A|= ···
an1
0a22···an2
···0···a2s 1·········ans 1
a1sa2s···ans
0a2s+1···ans+1
···0 ···a2n =a1sA1s.······ ···ann
|A|
s
|A|=a1sA1s+a2sA2s+···+ansAns,
Ais(i>1)
2
a11 a21
|A|= ···
an1
0,0.
a12a22···an2
6
′
1,
|A|=a1sA1s.2
···a1n ···a2n ,|A|=a11A11+a12A12+···+a1nA1n.······ ···ann
a11 a21
|A|= ···
an1
0a22···an2············
=a11A11+a12A12+···+a1nA1n
0 0 a2n + a21 ··· ···
ann an1
a12a22···an2············
00
a2n +···+ a21 ······
an1ann
a22···an2············
a1n a2n ··· ann 2
8
|A|=ai1Ai1+ai2Ai2+···+ainAin.
6
1.2-1.4 行列式的性质(6).doc
将本文的Word文档下载到电脑
下一篇：大三学年自我鉴定评价
