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MathGroup Archive 1994

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Re: *Matrix witihn matrix*

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Re: *Matrix witihn matrix*
  • From: rubin at msu.edu (Paul A. Rubin)
  • Date: Tue, 28 Jun 94 11:33:15 EDT

>I have a matrix containing sub-matrices which I wish to combine.
>
>I have implemented this as:
>
>CatMatrix[a_,b_,c_,d_]:=Block[{t1},
>t1=Length[a];Join[Table[Flatten[{a[[i]],b[[i]]}],
>{i,1,t1}],Table[Flatten[{c[[i]],d[[i]]}],
>{i,1,t1}]]].
>
>So that:
>
>a={{a11,a12,a13},{a21,a22,a23},{a31,a32,a33}};
>b={{b11,b12,b13},{b21,b22,b23},{b31,b32,b33}};
>c={{c11,c12,c13},{c21,c22,c23},{c31,c32,c33}};
>d={{d11,d12,d13},{d21,d22,d23},{d31,d32,d33}};
>
>{a,b,c,d}----->
>
>{{a11, a12, a13, b11, b12, b13}, {a21, a22, a23, b21, b22, b23},
>
>
>
>  {a31, a32, a33, b31, b32, b33},
>
>
>  {c11, c12, c13, d11, d12, d13},
>
>
>
>  {c21, c22, c23, d21, d22, d23}, {c31, c32, c33, d31, d32, d33}}
>
>Does anyone know of a  simplier implementation?
>
>
Transpose[ Join[ Transpose[ Join[ a, c ] ], Transpose[ Join[ b, d ] ] ] ]

(It may not be "simpler" but it's a one-liner.)

Paul

**************************************************************************
* Paul A. Rubin                                  Phone: (517) 336-3509   *
* Department of Management                       Fax:   (517) 336-1111   *
* Eli Broad Graduate School of Management        Net:   RUBIN at MSU.EDU    *
* Michigan State University                                              *
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entirely different.                                    J. W. v. GOETHE






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