同济大学线性代数第六版答案(14)

1

1

1

1

3

1

2

1

121110

00011 000 00 110

00 011

00 001 ------+-⋅⋅⋅-⋅⋅⋅⋅

⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅-⋅⋅⋅-⋅⋅⋅⋅⋅⋅=n

n n a a a a a a a a

∑=------+⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅

⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅=n i i n n a a a a a a a a 1

1

11

131******** 0001

0 000 00 100

00 01000 001

)

11)((121∑=+=n

i i n a a a a Λ

8 用克莱姆法则解下列方程组

(1)⎪⎩⎪

⎨⎧=+++-=----=+-+=+++0112325322

4254321432143214321x x x x x x x x x x x x x x x x

解 因为

14211

2135132

41211

111

-=----=D

14211210513241221

1151-=------=D 28411

2035122

41211

1512-=-----=D