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: Question about null basis of a matrix A (linear algebra)
Replies: 2   Last Post: Feb 24, 2013 12:09 PM

Advanced Search

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

Posts: 81
Registered: 10/8/05
Re: Question about null basis of a matrix A (linear algebra)
Posted: Feb 22, 2013 11:56 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Friday, February 22, 2013 11:53:55 AM UTC-5, rxj...@gmail.com wrote:
> Hi,
>
>
>
> I read a hand-out from a website on SVD. I do not understand the last line below dot line.
>
>
>
> The hand-out first talked think matrix V(rXr) in SVD: A V=U Sigma
>
> Later it introduced full matrix V. V was not seen to increase dimension from r to n in either row or column.
>
>
>
> But below it talked about r+1....n. How to understand this differences?
>
> Thanks,
>
>
>
> .............
>
> range and null space
>
> if r = rank(A), then
>
> ? {u1, . . . , ur} are an orthonormal basis for range(A)
>
> ? {vr+1, . . . , vn} are an orthonormal basis for null(A)


It did increase V from rXr to rXn. I have to find how it increases the columns. Thanks.



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.