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Combining Matrices

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65017] Combining Matrices
  • From: Gregory Lypny <gregory.lypny at videotron.ca>
  • Date: Sat, 11 Mar 2006 05:16:05 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello Everyone,

I'm trying to figure out how to combine an n x p matrix and an n x q  
matrix to form an n x (p + q) matrix.  I found one way, shown in the  
second last line of the code below, but I have no idea why it works,  
and I'm wondering whether there is a more direct way.  The example  
takes 3 x 4 matrix A and combines it with 3 x 2 matrix B to form 3 x  
6 matrix X.

Any thoughts would be most appreciated.

	Gregory

Clear[X]
n = 3; p = 4; q = 2;
A = Array[a, {n, p}];
B = Array[b, {n, q}];
(X = Transpose[Flatten[{{Transpose[A], Transpose[B]}}, 2]]) //  
MatrixForm
Dimensions[X]


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