Jump to content

Coset-Example

mathmari
in Homework Help

Featured Replies

Hi!!!

I have the following exercise: describe the set of solutions of a linear system as a coset of an appropriate subspace.

Could you give me an example?

Well a coset is a subspace plus an additional element(s)

 

The kernel is a subspace but not necessarily the whole solution

 

So whole solution is the kernel plus .....

 

Does this help?

  • Author

Is the whole solution the kernel plus a particular solution?

So if [tex] Ax_{0}=0 [/tex] and w is a soluion of [tex] Ax=b [/tex], then the whole solution is [tex] x_{0}+w [/tex] ??

Archived

This topic is now archived and is closed to further replies.

Go to topic listing

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications
Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.