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From: Vanniarajan on 22 Apr 2010 03:44
Dear Sir,

I am new to Matlab and this is my requirement:
I have a rectrangular matrix m x n, with rank n. I want to find how the remaining m-n columns/rows, each one is a linear combination of 'n' linearly independent rows. Is it possible to find that thru MATLAB? Please help.

Regards,
VanniaRajan
From: Yi Cao on 22 Apr 2010 08:06
Vanniarajan <vanniaraj(a)gmail.com> wrote in message <1550871768.3122.1271936698307.JavaMail.root(a)gallium.mathforum.org>...
> Dear Sir,
>
> I am new to Matlab and this is my requirement:
> I have a rectrangular matrix m x n, with rank n. I want to find how the remaining m-n columns/rows, each one is a linear combination of 'n' linearly independent rows. Is it possible to find that thru MATLAB? Please help.
>
> Regards,
> VanniaRajan

Hint:

Split A into A1 (n x n) and A2 (m-n x n) with A1 not singular. Then your question is to find B (m-n x n) such that A2 = B * A1. You should be able to solve this linear equation with Matlab.

HTH
Yi
From: John D'Errico on 22 Apr 2010 08:17
Vanniarajan <vanniaraj(a)gmail.com> wrote in message <1550871768.3122.1271936698307.JavaMail.root(a)gallium.mathforum.org>...
> Dear Sir,
>
> I am new to Matlab and this is my requirement:
> I have a rectrangular matrix m x n, with rank n. I want to find how the remaining m-n columns/rows, each one is a linear combination of 'n' linearly independent rows. Is it possible to find that thru MATLAB? Please help.
>

You need to do your homework yourself. If we
do it for you, then you learn nothing. So what
have you tried? What do you know about linear
algebra? Is there a matrix factorization that would
help you here?

John
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