07线性代数讲义[1](9)
发布时间:2021-06-06
发布时间:2021-06-06
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
yQ· 5y²½n,w
a
11a12···
·········
D= as10···
·········
an1an2···
a1n ···
0 + ···
ann
a11···0···an1a12···as2···an2
···············
a1n
···
asn
···
ann
a11a12···a1n ············
=as1As1+
0
as2···asn ············
an1
an2 ···
a
nn
a11a12···a1n ············
=as1As1+as2As2+
00···ain ············
an1an2···
a
nn
=as1As1+as2As2+···+asnAsn.2
a11a12···a1n
íØ1.16 D= a
21a22···a2n
············ ,u
a
n1an
2···ann
i)adk=i
k1Ai1+·+aknAin=
0k=i;
ii)ads=j
1sA1j+·+ansAnj=0s=j
.
a11 ···
a
(i 1)1y².i)¨i=k ,dUIÐmª &"y#i=k.du
ak1
a(i+1)1
···
a k1
···.
an10, ¡d½n1.15,þª =ak1Ai1+·+aknAin,Ïdi)¤ª= ØUgI ª' ,Ïdii) di)íÑ.2
a12·········a(i 1)2···ak2···a(i+1)2·········ak2·········an2···á;Ï Ia 1n ··· a(i 1)n a kn a(i+1)n
··· =a kn ··· a nn
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