       Re: Combining Matrices

• To: mathgroup at smc.vnet.net
• Subject: [mg65028] Re: [mg65017] Combining Matrices
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Sun, 12 Mar 2006 23:57:45 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```n=3;p=4;q=2;
A=Array[a,{n,p}];
B=Array[b,{n,q}];

X=Join@@@Transpose[{A,B}]

Needs["LinearAlgebra`MatrixManipulation`"];

X=AppendRows[A,B]

Needs["Statistics`DataManipulation`"];

X=RowJoin[A,B]

Bob Hanlon

>
> From: Gregory Lypny <gregory.lypny at videotron.ca>
To: mathgroup at smc.vnet.net
> Subject: [mg65028] [mg65017] Combining Matrices
>
> 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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