RE: [R] Null space (or kernel) and image of a matrix

From: <davidr_at_rhotrading.com>
Date: Wed 01 Jun 2005 - 00:28:40 EST


help.search("null space")
gives

Null(MASS)                          Null Spaces of Matrices

PLEASE PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html

David Reiner
Rho Trading Securities, LLC

-----Original Message-----
From: r-help-bounces@stat.math.ethz.ch [mailto:r-help-bounces@stat.math.ethz.ch] On Behalf Of Huntsinger, Reid Sent: Tuesday, May 31, 2005 9:02 AM
To: 'Aleš Žiberna'; R-help
Subject: RE: [R] Null space (or kernel) and image of a matrix

The null space or kernel of a matrix A would be the subspace of vectors v such that Av = 0. That is, it's the solution space of a homogeneous linear system of equations whose coefficients are the rows of A. R implements many ways to solve such systems. The image is the set of vectors of the form Av as v ranges over all vectors, which is the same as the span of the columns of A, aka the column space of A. You can reduce this to a basis or transform it to an orthogonal basis. Have a look at a linear algebra book to get an idea for the possibilities.

Reid Huntsinger

-----Original Message-----
From: r-help-bounces@stat.math.ethz.ch
[mailto:r-help-bounces@stat.math.ethz.ch] On Behalf Of Aleš Žiberna Sent: Tuesday, May 31, 2005 7:22 AM
To: R-help
Subject: [R] Null space (or kernel) and image of a matrix

Hello!

Does anyone now if there exist a function that would compute a "null space" (or "kernel" - "Ker") of a matrix and maybe also one that would compute an "image" ("Im") of a matrix.

I tried R-site search and google, However I found notnihg useful!

Thanks for any sugestions! I am also not sure what an "image" of a matrix is, so suggestion in this directions would also be apreciated.

Aleš Žiberna



R-help@stat.math.ethz.ch mailing list
https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide!
http://www.R-project.org/posting-guide.html

R-help@stat.math.ethz.ch mailing list
https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html

R-help@stat.math.ethz.ch mailing list
https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html Received on Wed Jun 01 00:33:20 2005

This archive was generated by hypermail 2.1.8 : Fri 03 Mar 2006 - 03:32:16 EST