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Re: Dealing with submatrices


Chris Hall [chall at aoe.vt.edu] wrote:

> I want to construct a 9x9 matrix using 9 existing 3x3 matrices:
> M = { {m11, m12, m13}, {m21, m22, m23}, {m31, m32, m33}}
>
> The problem is that this creates a too-deep nested list and I can't
> figure out how
> to make it a 9x9.  Flatten doesn't appear to be the right tool.

Hello Chris,

First, rearrange m (in Mathematica it is good form to use lower-case for
symbols defined by the user) by transposing the indices, so that p, say, is
p= {{m11, m21, m31},{m12, m22, m32},{m13, m23, m33}}

Then
In[1]:=
Partition[Flatten[MapThread[List, Partition[Join @@ p, 9]]], 9]

will do the trick.

Hope this helps,

Tomas Garza
Mexico City



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