       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.

>

>

```

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