Re: Partitioned matrix operations
- To: mathgroup at smc.vnet.net
- Subject: [mg100629] Re: Partitioned matrix operations
- From: dh <dh at metrohm.com>
- Date: Wed, 10 Jun 2009 05:30:49 -0400 (EDT)
- References: <h0l467$oof$1@smc.vnet.net>
Hi,
you may symbolically invert your matrix:
Inverse[M]
giving:
{{0, 1/C}, {1/B, -(A/(B C))}}
Now it is up to you to ensure that C,B and B C are invertible.
Daniel
Joe Hays wrote:
> Hello,
> Here's a Mathematica newbie question. Say I have a matrix, M, defined as,
>
> M = {{A, B}, {C, 0}}
>
> where A is nxn, B is nxm, C is mxn, and the zero sum matrix is mxm. I would
> like to perform an operation on the matrix M without fully defining A, B,
> and C and get a result in terms of A, B, and C. For example, if I wanted to
> determine the matrix inverse of M in terms of A, B, and C.
>
> Is this possible in Mathematica? I've unfortunately not found anything in
> the docs that indicates that this is possible.
>
> Thx.
>
>