Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Matrices of rank at least k
Replies: 12   Last Post: Nov 29, 2012 1:15 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Kaba

Posts: 289
Registered: 5/23/11
Re: Matrices of rank at least k
Posted: Nov 28, 2012 6:18 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

29.11.2012 1:05, quasi wrote:
> An m x n matrix A has rank <= k
>
> iff every (k+1) x (k+1) submatrix of A has determinant 0,
>
> iff the sum of the squares of the determinants of all
> (k+1) x (k+1) submatrices of A has determinant 0,


That sounds correct, and finishes the proof. Thanks:)

--
http://kaba.hilvi.org



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.