randomly shuffle the matrix by taking two rows

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For example, if I have
1 5 9 13 17 20
2 6 10 14 18 21
3 7 11 15 19 22
4 8 12 16 20 23
I want to have a function that can shuffle the columns around while keeping the values in the column the same. I want it done by taking two columns together.For example:
9 13 17 20 1 5
10 14 18 21 2 6
11 15 19 22 3 7
12 16 20 23 4 8
In other words, the first two columns were taken together, the next two columns were taken together and randomly mixed in that way.
(Note : My matrix is normally a very large matrix. That's why I wanted to do it with code)
Can you help me to code this?
Thank you.

Accepted Answer

Voss
Voss on 21 Mar 2022
A = [1 5 9 13 17 20
2 6 10 14 18 21
3 7 11 15 19 22
4 8 12 16 20 23];
new_idx = randperm(size(A,2)/2)*2-[1; 0]
new_idx = 2×3
5 3 1 6 4 2
A = A(:,new_idx(:)) % A(:,[5 6 3 4 1 2])
A = 4×6
17 20 9 13 1 5 18 21 10 14 2 6 19 22 11 15 3 7 20 23 12 16 4 8
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