计算n阶行列式丫灭跌!计算n阶行列式(n>2)Dn=a1+1a1+2···a1+na2+1a2+2···a2+n············an+1an+2an+3an+4

Question

计算n阶行列式 丫灭跌!
计算n阶行列式(n>2)Dn=
a1+1 a1+2 ··· a1+n
a2+1 a2+2 ··· a2+n
··· ··· ··· ···
an+1 an+2 an+3 an+4

Answer 1

当n>=3时
c2-c1,c3-c1
D =
a1+1 1 2··· a1+n
a2+1 1 2··· a2+n
··· ··· ··· ···
an+1 1 2 ...an+n
2,3列成比例,故 D = 0.
n=1时,D = a1+1
n=2时,D = a1-a2