Loading presentation...

Present Remotely

Send the link below via email or IM


Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.


Equivalent conditions for Bases

No description

Dave Constantine

on 30 October 2013

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of Equivalent conditions for Bases

Equivalent conditions for Bases
Any two of the following are true:
Linear system conditions
is a basis for V
has exactly one solution
The linear system
has exactly one solution for any a, b, c, ...
has nonzero determinant
has an inverse
If you are working in a vector space that is not n-dimensional Euclidean, you can fill in the coordinates of your basis with respect to the standard basis as the columns of this matrix.
Definition of basis.
Definition of span and linear independence
Translation into solving a linear system.
Condition for a linear system always having one solution.
condition for a matrix to be invertible.
The single solution is:
definition of dimension and PSet 7, Problem #6
Full transcript