R help - Jun 2004 - Is there an easy way to generate linearly independent vec tors

I believe eigen(), svd() and qr() can all do it.

Andy
> From: Jonathan Baron
> 
> On 06/17/04 19:04, Fred wrote:
> >Dear R-listers:
> >
> >I am trying to test an algorithm on a set of linearly 
> independent vectors
> >{x1,x2,...,xn}.
> 
> Well, here's an idea, for 10 vectors of length 10,
> as columns of a matrix m1.  The 11th seems to be needed.
> 
> m1 <- matrix(rnorm(110),10,11)
> for (i in 2:11) {
>  m1[,i] <- resid(lm(m1[,i] ~ m1[, 1:(i-1)]))
> }
> 
> Test it with cor(m1[,-11])
> 
> I'm sure there are better ways.
> 
> Of course
> m1 <- matrix(rnorm(100),10,10)
> is ALMOST what you want.
> 
> Jon
> -- 
> Jonathan Baron, Professor of Psychology, University of Pennsylvania
> Home page:            http://www.sas.upenn.edu/~baron

I want to get linearly independent vectors, not orthogonal ones.
The functions eigen, svd, I think it may provide orthogonal
vectors which are not what I expect.


----- Original Message ----- 
From: "Liaw, Andy" <andy_liaw at merck.com>
To: "'Jonathan Baron'" <baron at psych.upenn.edu>;
"Fred"
<fzh113 at hecky.it.northwestern.edu>
Cc: "R-help mailing list" <r-help at stat.math.ethz.ch>
Sent: Thursday, June 17, 2004 7:50 PM
Subject: RE: [R] Is there an easy way to generate linearly independent vec
tors

> I believe eigen(), svd() and qr() can all do it.
>
> Andy
>
> > From: Jonathan Baron
> >
> > On 06/17/04 19:04, Fred wrote:
> > >Dear R-listers:
> > >
> > >I am trying to test an algorithm on a set of linearly
> > independent vectors
> > >{x1,x2,...,xn}.
> >
> > Well, here's an idea, for 10 vectors of length 10,
> > as columns of a matrix m1.  The 11th seems to be needed.
> >
> > m1 <- matrix(rnorm(110),10,11)
> > for (i in 2:11) {
> >  m1[,i] <- resid(lm(m1[,i] ~ m1[, 1:(i-1)]))
> > }
> >
> > Test it with cor(m1[,-11])
> >
> > I'm sure there are better ways.
> >
> > Of course
> > m1 <- matrix(rnorm(100),10,10)
> > is ALMOST what you want.
> >
> > Jon
> > -- 
> > Jonathan Baron, Professor of Psychology, University of Pennsylvania
> > Home page:            http://www.sas.upenn.edu/~baron
>
>
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