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