- #1

matqkks

- 280

- 5

Why is the row space of a matrix important?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter matqkks
- Start date

- #1

matqkks

- 280

- 5

Why is the row space of a matrix important?

- #2

genericusrnme

- 620

- 2

One example is basic multiplication;

Multiplying a matrix with a vector to the right gives linear combinations of the columns, multiplying with a vector to the left gives linear combinations of the rows.

- #3

Bacle2

Science Advisor

- 1,089

- 10

The row space is used in the fundamental theorem of linear algebra:

http://en.wikipedia.org/wiki/Fundamental_theorem_of_linear_algebra

which relates row space, column space, kernel and cokernel.

Together, of course, with the rank-nullity theorem.

http://en.wikipedia.org/wiki/Fundamental_theorem_of_linear_algebra

which relates row space, column space, kernel and cokernel.

Together, of course, with the rank-nullity theorem.

Last edited:

Share:

- Last Post

- Replies
- 0

- Views
- 474

- Last Post

- Replies
- 1

- Views
- 923

- Last Post

- Replies
- 1

- Views
- 464

- Last Post

- Replies
- 5

- Views
- 630

- Replies
- 14

- Views
- 798

- Last Post

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 647

MHB
Vector space

- Last Post

- Replies
- 4

- Views
- 823

- Last Post

- Replies
- 0

- Views
- 669

- Replies
- 6

- Views
- 2K