2.7 矩阵的秩

9
2.7 矩矩矩矩

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Page 1: 2.7  矩阵的秩

2.7 矩阵的秩

Page 2: 2.7  矩阵的秩
Page 3: 2.7  矩阵的秩
Page 4: 2.7  矩阵的秩

11 12 1 1 1 1

22 2 2 1 2

1

0

0 0

0 0 0 0 0

0 0 0 0 0

r r n

r r n

m n rr rr rn

a a a a a

a a a a

A a a a

11 12 1

22 211 22

00

0 0

r

rrr

rr

a a a

a aa a a

a

Page 5: 2.7  矩阵的秩
Page 6: 2.7  矩阵的秩

1 1 2 2 1 1

1 2 1 1 2 1

1 2

r r

r r

it jt it jt it jt

it it it jt jt jt

M a ka a ka a ka

a a a k a a a

M kM

记为

Page 7: 2.7  矩阵的秩

0

0 0Ar

E

1 2 1 4 0

2 5 2 5 3

0 1 5 4 3

3 8 5 6 6

A

Page 8: 2.7  矩阵的秩

2 1

4 1

3 2

4 2

23

2

1 2 1 4 0

0 1 4 3 3

0 1 5 4 3

0 2 8 6 6

1 2 1 4 0

0 1 4 3 3

0 0 9 1 0

0 0 0 0 0

R RR R

R R

R R

A

B

记为

Page 9: 2.7  矩阵的秩