- #1

- 193

- 1

(F is an arbitrary field)

- Thread starter chingkui
- Start date

- #1

- 193

- 1

(F is an arbitrary field)

- #2

matt grime

Science Advisor

Homework Helper

- 9,395

- 3

row rank=column rank, that pretty much tells you everything, and the fact that the images and kernels are related to the rows and cols of H's implies soemthing obvious since the row/cols of the transpose are the cols/rows of the original. (i haven't said which way round since it depends on what side you make your matrices act)

Last edited:

- #3

mathwonk

Science Advisor

Homework Helper

- 11,011

- 1,209

the transpose represents the pullback map on linear functions.

- Last Post

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 9K

- Last Post

- Replies
- 1

- Views
- 9K

- Last Post

- Replies
- 1

- Views
- 4K

- Last Post

- Replies
- 3

- Views
- 398

- Last Post

- Replies
- 5

- Views
- 1K

- Last Post

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 6K

- Replies
- 6

- Views
- 3K