MathGroup Archive 2003

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Re: Are points co-planar in (numDimensions-1)?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43288] Re: [mg43240] Re: Are points co-planar in (numDimensions-1)?
  • From: Sseziwa Mukasa <mukasa at jeol.com>
  • Date: Sat, 23 Aug 2003 08:09:20 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On Wednesday, August 20, 2003, at 10:26 PM, AngleWyrm wrote:

> My last post on this subject lacked depth, so here's more info.
>
> Given some n-dimensional vectors, are they coplanar in n-1? Let a1, 
> a2, ..., an be vectors. If they
> are coplanar, then there exists a set of coefficients {k1, k2, ..., 
> kn}, not all zero, which satisfy
> the equation:
>

Why not just check for a nonempty nullspace?  For example 
Length[NullSpace[Transpose[{a1,a2,...}]]] != 0.  Or in version 5 you 
could just use MatrixRank to check that the rank of 
Transpose[{a1,a2,...}] is less than n.

Regards,

Ssezi


  • Prev by Date: Comparison of Mathematica on Various Computers
  • Next by Date: Re: is this a new bug? Mathematicaa 5.0...
  • Previous by thread: Re: Are points co-planar in (numDimensions-1)?
  • Next by thread: Re: Are points co-planar in (numDimensions-1)?