# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Sun, 26 May 2013 07:43:14 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 7 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: Doubt in linear algebraPosted: Thu, 9 Feb 2012 16:35:21 UTC
 S.O.S. Newbie

Joined: Thu, 9 Feb 2012 16:30:00 UTC
Posts: 3
I have got a problem like A*x=lambda*x
where A is of order d*d
x is of order d*c
lambda is a constant
A and lambda are known and matrix x is unknown.
Is there any function in matlab that solves this problem??
Solution needed urgently.
Thanks in advance for any kind of help

Top

 Post subject: Re: Doubt in linear algebraPosted: Fri, 10 Feb 2012 01:26:11 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12103
Location: Austin, TX
Asha wrote:
I have got a problem like A*x=lambda*x
where A is of order d*d
x is of order d*c
lambda is a constant
A and lambda are known and matrix x is unknown.
Is there any function in matlab that solves this problem??
Solution needed urgently.
Thanks in advance for any kind of help

What do you mean order of a? You mean the size of the matrix?

You just have to solve and that is easy, since solving a homogeneous equation just amounts to putting the matrix into row-echelon form, so the answer is "yes, just tell Matlab to do ref (or rref) on .

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Post subject: Re: Doubt in linear algebraPosted: Fri, 10 Feb 2012 01:26:24 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12103
Location: Austin, TX
Topic moved to Matrix Algebra.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Post subject: Re: Doubt in linear algebraPosted: Fri, 10 Feb 2012 06:49:40 UTC
 S.O.S. Newbie

Joined: Thu, 9 Feb 2012 16:30:00 UTC
Posts: 3
Yeah..by order i meant size of the matrix given as no. of rows by no. of columns.
I am aware of the procedure of solving homogeneous system of equations in the case where x in the above post is a vector i.e of size k by 1
but in my problem it is of size c by d where c>1 and d>1...does your solution still hold??

Top

 Post subject: Re: Doubt in linear algebraPosted: Fri, 10 Feb 2012 10:56:41 UTC
 Moderator

Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6010
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
Asha wrote:
Yeah..by order i meant size of the matrix given as no. of rows by no. of columns.
I am aware of the procedure of solving homogeneous system of equations in the case where x in the above post is a vector i.e of size k by 1
but in my problem it is of size c by d where c>1 and d>1...does your solution still hold??

Consider each column separately.

_________________

Top

 Post subject: Re: Doubt in linear algebraPosted: Fri, 10 Feb 2012 17:12:18 UTC
 S.O.S. Newbie

Joined: Thu, 9 Feb 2012 16:30:00 UTC
Posts: 3
That will lead to a different lambda or eigen value for each column when we do it column wise....I wish to get a single lambda for entire x as a whole

Top

 Post subject: Re: Doubt in linear algebraPosted: Fri, 10 Feb 2012 18:21:41 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12103
Location: Austin, TX
Asha wrote:
That will lead to a different lambda or eigen value for each column when we do it column wise....I wish to get a single lambda for entire x as a whole

No, because you're solving the system for , which means if it satisfies that for each column, then it satisfies that for the whole matrix, so outermeasure's suggestion is exactly the right idea.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 7 posts ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous
Contact Us | S.O.S. Mathematics Homepage
Privacy Statement | Search the "old" CyberBoard

users online during the last hour
Powered by phpBB © 2001, 2005-2011 phpBB Group.
Copyright © 1999-2013 MathMedics, LLC. All rights reserved.
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA