How can I shuffle a matrix

I have matrix nxn, A=[1 2 3 4;5 6 7 8; 9 10 11 12; 13 14 15 16]; I want to shuffle this matrix, which will give AB=[1 2 5 6; 3 4 7 8; 9 10 13 14; 11 12 15 16]. Any help will be highly appreciated

Answer 1

[Stephen23]

Here are two methods to rearrange it according to your question. Adjust to suit the size of your matrix.

>> A=[1 2 3 4;5 6 7 8; 9 10 11 12; 13 14 15 16]
A =
    1    2    3    4
    5    6    7    8
    9   10   11   12
   13   14   15   16
>> cell2mat(reshape(cellfun(@(m)reshape(m.',2,2).',num2cell(A,2),'uni',0),2,2).')
ans =
    1    2    5    6
    3    4    7    8
    9   10   13   14
   11   12   15   16
>> reshape(permute(reshape(permute(reshape(A.',2,2,[]),[1,3,2]),4,2,[]),[1,3,2]),4,[]).'
ans =
    1    2    5    6
    3    4    7    8
    9   10   13   14
   11   12   15   16

[xia]

thank you, this is the answer I am looking for

Answer 2

[Roger Stafford]

AB = A;
AB(2,9,6,13,4,11,8,15) = AB(9,2,13,6,11,4,15,8);

[Jan]

Insert square brackets for linear indexing, otherwise it accesses a n 8 dimensional array:

AB([2,9,6,13,4,11,8,15]) = AB([9,2,13,6,11,4,15,8]);

[xia]

I mean how to change the position of some elements in matrix A to be like AB matrix. Based on some literature using shuffle operators, but only include examples as I have mentioned.

[xia]

thank you for the answer