07线性代数讲义[1](3)

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

(i1,i2,···,is,is+1,···,is+k,is+k+1,···,in)²vmg éx&(i1,i2,···,is+m,is,is+1,···,is+m 1,is+m+P²vm 1g éx1uj1,j2,···,jn.Ïdτ(i1,i2,···,in)'ÛóSUg 2m 1g,τ(j1,j2,···,jn)Ug τ(i1,i2,···,in)'ÛóS.

½n1.5(1).Xtü j1,j2,···,jn´dg,ü ²vtgé  & ',@oτ(j1,j2,···,jn) tÓÛó.

(2).Xtü i1,i2,···,in²vtgé  & g,ü ,@oτ(i1,i2,···,in) tÓÛó.

²vtgé

y².(1).j1,j2,···,jn→1,,2,···,n,@oj1,j2,···,jn'ÛóSUg tg.Xtτ(j1,j2,···,jn)´Ûê,Ï1,,2,···,n´óü ,Ïdt ´Ûê.Ó ,Xtτ(j1,j2,···,jn)´óü ,@ot ´óê,Ïdτ(j1,j2,···,jn) tÓÛóS.

(2).aqy².2

Ún1.6Xtü j1,j2,···,jn´n?ü ,¿ ji1=1,ji2=2,···,jin=n,@oτ(j1,j2,···,jn) τ(i1,i2,···,in)ÓÛó.

j1j2···jn12···n²vtgé

y².→.d½n1.5 &

12···nj1j2···jn

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²vtgé ²vtgé

Xtj1,j2,···,jn→1,2,···,n,@o1,2,···,n→i1,i2,···,in.d½n1.5 ,τ(j1,j2,···,jn) τ(i1,i2,···,in)ÓÛó.2