哈工大版线性代数与空间解析几何课后题答案(5)

10

3

00

2111211121112201220122

3 3 9.

211100 3700 370 3600 36000 1

xa a r1 r2 (n 1)a x(n 1)a x (n 1)a x

(3) Dax a r1 r3axn aa xr1 rn

aa11 1ax

a [(n 1)a x]aa

a a

a

111 10x a

0 0 [(n 1)a x]00

x a 0

000

x a

[(n 1)a x](x a)n 1.

1

23 n 1

10 0 c c 2 3 n

12 (4) Dn 1

01 0c1 c

30

1

00

1c1 c

n0

1 2 3 n n(n 1)

2

.

a00 10a0 0

(5) Dn 00a 0

100 a

23 10 01 00 a

x

n00

1

·5·