From: Huntsinger, Reid <reid_huntsinger_at_merck.com>

Date: Wed 01 Jun 2005 - 00:01:52 EST

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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 00:12:32 2005

Date: Wed 01 Jun 2005 - 00:01:52 EST

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 Ale¹ ®iberna
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.

Ale¹ ®iberna

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 00:12:32 2005

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