MATLAB: Rearrange 3 small matrices to a bigger one with a certain order: taking first n-rows of each of the smaller matrices after each other

efficientindexindicesmatrixmatrix manipulationrearrangerowswapunit matrix

I have three smaller Matrices that I want to transform to one bigger one with the following order:
>> A1 =
     1     1
     2     2
     3     3
     4     4
A2 =
     5     5
     6     6
     7     7
     8     8
A3 = 
     9     9
     10    10
     11    11
     12    12
They should be transformed to one Matrix in this order:
B =
     1     1
     2     2
     5     5
     6     6
     9     9
     10    10
     3     3
     4     4
     7     7
     8     8
     11    11
     12    12
So always take the first n-rows of each matrix (here n=2, in the actual case 'n' ist way higher), then take all the second "packages" and so on (In this case: Take first two lines of each Matrix, then take lines 3-4 of each matrix, then lines 5-6 of each matrix and so on)
Is there a nice and quick solution that does not require loops? Maybe using reshape or some functions to swap lines or using indices or so..?
Thanks in advance again!

Best Answer

m=size(A1,2);
n=2
A11=permute(reshape(A1',m,n,[]),[2 1 3]);
A22=permute(reshape(A2',m,n,[]),[2 1 3]);
A33=permute(reshape(A3',m,n,[]),[2 1 3]);
A=permute([A11;A22;A33],[2 1 3]);
B=A(:,:)'
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