How do I repetitively shuffle elements in my matrix column-wise?

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Joyce Oerlemans
Joyce Oerlemans 2024-1-8
编辑： Matt J 2024-1-10
Hello everyone,
I am new to MATLAB and have a question about how to randomly shuffle elements in a matrix column-wise. Specifically, I have a 582x255 matrix and I would like to shuffle the elements. However, it is important that the elements of one column stay in the same column, so a column-wise shuffle and that the every column is shuffled in a different way (so that the elements in one row are not all shuffled to the same row). So far, this is what I have come up with:
[m,n]=size(F); % F = 582x255 matrix
nb_rows = n; %number of rows
C_1 = F(:,1); % select first column of matrix
C_1_s = C_1(randperm(length(C_1))); % randomly shuffle the elements of that column
This works. However, I would like to find a way to do it automatically for every column. I think I would need to create a loop that does the same thing column per column, so I have tried this:
for i=1:nb_rows;
C_i = F(i,1);
C_i_s = C_i(randperm(length(C_i)));
end
But it doesn't seem to work.
I would greatly appreciate it if someone could help me with this!

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采纳的回答

Matt J
Matt J 2024-1-8
编辑：Matt J 2024-1-8
Ran in:
F=magic(5)
F = 5×5
17 24 1 8 15 23 5 7 14 16 4 6 13 20 22 10 12 19 21 3 11 18 25 2 9
[m,n]=size(F);
[~,I]=sort(rand([m,n]));
J=repmat(1:n,m,1);
Fshuffle = F(sub2ind([m,n],I,J))
Fshuffle = 5×5
17 6 7 2 3 11 5 25 14 16 4 24 1 21 9 10 18 13 20 22 23 12 19 8 15
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Joyce Oerlemans
Joyce Oerlemans 2024-1-10
That works perfectly, thank you very much! I have one last question: is there a way to repeat this loop a 100 times so that I get 100 variables each which a different shuffle of the matrix?
Matt J
Matt J 2024-1-10
编辑：Matt J 2024-1-10
Ran in:
That works perfectly, thank you very much!
You're welcome, but please Accept-click the answer to indicate that it worked.
I have one last question: is there a way to repeat this loop a 100 times so that I get 100 variables each which a different shuffle of the matrix?
As below:
F=magic(5)
F = 5×5
17 24 1 8 15 23 5 7 14 16 4 6 13 20 22 10 12 19 21 3 11 18 25 2 9
[m,n]=size(F);
p=100;
[~,I]=sort(rand([m,n,p]));
J=repmat(1:n,m,1,p);
Fshuffle = F(sub2ind([m,n],I,J))
Fshuffle =
Fshuffle(:,:,1) = 17 12 1 21 22 10 18 19 20 3 4 6 7 2 15 11 24 13 8 9 23 5 25 14 16 Fshuffle(:,:,2) = 11 24 25 2 22 23 6 7 21 3 4 12 1 8 9 10 5 13 20 16 17 18 19 14 15 Fshuffle(:,:,3) = 4 5 13 21 16 17 18 1 14 22 10 12 19 20 15 23 6 7 8 9 11 24 25 2 3 Fshuffle(:,:,4) = 10 12 1 21 16 17 18 19 20 3 23 6 7 14 15 4 24 13 2 22 11 5 25 8 9 Fshuffle(:,:,5) = 4 12 13 14 16 10 5 25 20 15 11 24 7 8 22 17 6 1 21 9 23 18 19 2 3 Fshuffle(:,:,6) = 11 6 7 14 9 23 18 25 20 3 10 24 13 2 16 17 5 19 8 22 4 12 1 21 15 Fshuffle(:,:,7) = 23 18 19 20 3 10 24 7 21 16 4 12 13 14 15 17 6 25 2 22 11 5 1 8 9 Fshuffle(:,:,8) = 4 18 13 21 16 10 5 7 2 15 23 12 19 20 9 17 24 1 14 22 11 6 25 8 3 Fshuffle(:,:,9) = 11 6 25 20 15 17 5 13 14 9 4 12 7 8 3 10 24 1 21 16 23 18 19 2 22 Fshuffle(:,:,10) = 11 5 13 14 15 17 12 7 21 9 4 6 25 8 3 23 24 1 20 16 10 18 19 2 22 Fshuffle(:,:,11) = 23 24 13 20 9 17 6 1 8 3 4 5 7 21 15 10 18 25 2 22 11 12 19 14 16 Fshuffle(:,:,12) = 10 24 13 21 22 4 6 19 8 3 11 5 7 2 16 23 18 1 14 9 17 12 25 20 15 Fshuffle(:,:,13) = 10 5 13 14 15 4 12 25 21 22 11 24 19 8 9 23 6 7 2 16 17 18 1 20 3 Fshuffle(:,:,14) = 17 5 19 8 16 10 18 25 2 22 4 24 13 20 3 23 12 1 21 9 11 6 7 14 15 Fshuffle(:,:,15) = 17 5 19 21 9 23 12 25 20 3 10 6 13 14 15 4 24 7 8 22 11 18 1 2 16 Fshuffle(:,:,16) = 10 12 7 2 15 23 18 19 8 3 11 24 25 21 9 17 6 1 20 16 4 5 13 14 22 Fshuffle(:,:,17) = 17 12 13 8 16 10 18 7 21 9 23 6 1 20 3 4 24 25 2 15 11 5 19 14 22 Fshuffle(:,:,18) = 17 18 1 2 3 4 12 25 14 16 23 6 19 8 22 11 5 7 20 9 10 24 13 21 15 Fshuffle(:,:,19) = 10 18 19 8 15 17 24 7 20 3 4 5 1 21 9 23 6 13 2 16 11 12 25 14 22 Fshuffle(:,:,20) = 23 5 1 20 9 4 6 25 2 3 17 24 7 8 16 11 12 19 14 22 10 18 13 21 15 Fshuffle(:,:,21) = 4 12 7 21 16 17 6 19 2 9 23 5 1 20 15 10 24 13 8 22 11 18 25 14 3 Fshuffle(:,:,22) = 11 6 19 2 15 23 12 25 21 16 4 5 7 8 3 10 18 13 14 9 17 24 1 20 22 Fshuffle(:,:,23) = 23 18 25 20 16 4 5 19 14 15 11 6 13 8 9 10 12 1 2 22 17 24 7 21 3 Fshuffle(:,:,24) = 4 6 19 8 16 10 5 25 2 9 17 18 7 20 22 11 12 13 14 15 23 24 1 21 3 Fshuffle(:,:,25) = 10 12 1 20 3 4 5 13 2 15 23 18 7 14 9 17 24 25 8 16 11 6 19 21 22 Fshuffle(:,:,26) = 11 24 13 8 3 23 6 1 14 22 10 12 25 2 9 4 5 19 21 16 17 18 7 20 15 Fshuffle(:,:,27) = 10 24 19 20 16 23 18 25 21 15 11 5 7 8 22 17 6 1 14 3 4 12 13 2 9 Fshuffle(:,:,28) = 10 12 13 21 16 23 18 19 8 3 17 6 1 2 15 4 5 25 14 9 11 24 7 20 22 Fshuffle(:,:,29) = 17 18 25 20 22 10 6 1 14 16 23 5 19 8 9 11 12 13 2 15 4 24 7 21 3 Fshuffle(:,:,30) = 11 5 13 8 16 23 18 19 2 3 10 12 1 21 9 4 24 7 14 15 17 6 25 20 22 Fshuffle(:,:,31) = 10 24 25 8 15 17 6 13 14 16 4 5 7 21 22 11 12 1 2 3 23 18 19 20 9 Fshuffle(:,:,32) = 17 6 25 8 22 23 24 1 21 16 11 5 7 2 3 4 18 13 20 15 10 12 19 14 9 Fshuffle(:,:,33) = 4 24 7 2 9 11 18 13 8 16 10 12 25 20 3 23 6 1 14 15 17 5 19 21 22 Fshuffle(:,:,34) = 23 12 1 2 16 10 24 13 14 15 4 6 19 20 9 11 18 7 21 22 17 5 25 8 3 Fshuffle(:,:,35) = 11 6 1 21 22 4 5 7 20 9 10 18 13 2 15 23 24 25 14 3 17 12 19 8 16 Fshuffle(:,:,36) = 4 12 7 8 15 23 6 13 20 9 17 24 19 21 3 11 18 25 14 16 10 5 1 2 22 Fshuffle(:,:,37) = 10 12 7 8 22 4 5 13 21 9 17 18 19 2 15 23 6 1 20 16 11 24 25 14 3 Fshuffle(:,:,38) = 17 18 1 21 9 10 5 13 8 22 4 24 25 14 3 23 12 19 2 16 11 6 7 20 15 Fshuffle(:,:,39) = 10 6 13 8 16 4 18 1 20 9 17 12 19 21 22 23 5 7 14 15 11 24 25 2 3 Fshuffle(:,:,40) = 23 5 1 21 15 10 6 19 8 9 11 18 7 14 16 17 12 25 2 22 4 24 13 20 3 Fshuffle(:,:,41) = 4 6 1 8 22 10 18 13 20 15 11 24 19 2 3 23 5 7 21 9 17 12 25 14 16 Fshuffle(:,:,42) = 4 24 1 8 3 10 12 19 21 22 17 18 25 2 9 23 6 7 20 15 11 5 13 14 16 Fshuffle(:,:,43) = 4 6 13 14 9 17 12 19 20 3 23 18 1 2 22 11 5 7 21 16 10 24 25 8 15 Fshuffle(:,:,44) = 4 12 1 8 22 23 24 7 2 9 17 5 13 14 16 10 6 19 21 3 11 18 25 20 15 Fshuffle(:,:,45) = 23 6 25 2 3 17 18 19 20 16 11 24 1 21 22 4 12 7 8 15 10 5 13 14 9 Fshuffle(:,:,46) = 11 5 7 20 3 17 24 19 8 9 10 6 13 2 16 23 18 1 21 22 4 12 25 14 15 Fshuffle(:,:,47) = 23 12 1 2 3 10 6 19 21 15 11 24 25 8 9 17 5 13 20 16 4 18 7 14 22 Fshuffle(:,:,48) = 23 12 7 20 9 10 6 19 21 16 17 24 25 2 22 11 5 13 14 3 4 18 1 8 15 Fshuffle(:,:,49) = 4 5 19 8 22 11 18 25 21 15 23 24 13 2 3 10 12 1 20 16 17 6 7 14 9 Fshuffle(:,:,50) = 11 6 7 20 16 4 12 19 2 9 10 18 25 14 3 17 24 13 21 15 23 5 1 8 22 Fshuffle(:,:,51) = 11 5 7 8 16 4 24 19 21 22 23 18 13 14 3 10 6 1 2 9 17 12 25 20 15 Fshuffle(:,:,52) = 11 5 7 2 15 4 12 1 14 9 17 6 25 8 16 10 18 13 21 22 23 24 19 20 3 Fshuffle(:,:,53) = 23 12 25 21 22 4 5 19 8 16 11 18 1 14 15 17 6 13 2 9 10 24 7 20 3 Fshuffle(:,:,54) = 10 6 7 21 3 4 5 19 20 15 17 24 25 8 16 23 12 1 2 9 11 18 13 14 22 Fshuffle(:,:,55) = 17 18 19 14 3 4 24 13 2 15 10 6 25 21 16 23 12 1 8 22 11 5 7 20 9 Fshuffle(:,:,56) = 23 5 19 14 3 10 6 1 21 16 11 12 25 2 15 4 24 13 8 9 17 18 7 20 22 Fshuffle(:,:,57) = 17 24 13 20 9 11 5 7 21 16 4 18 25 2 15 23 12 1 14 22 10 6 19 8 3 Fshuffle(:,:,58) = 10 12 25 2 3 17 6 19 21 22 11 24 1 8 9 23 5 13 14 16 4 18 7 20 15 Fshuffle(:,:,59) = 4 5 25 8 22 17 6 7 21 3 11 24 1 20 15 10 18 13 2 9 23 12 19 14 16 Fshuffle(:,:,60) = 4 18 13 20 16 23 5 19 21 15 11 12 25 8 9 17 6 7 2 3 10 24 1 14 22 Fshuffle(:,:,61) = 10 18 13 2 9 23 5 1 21 22 17 12 7 8 15 4 6 19 14 3 11 24 25 20 16 Fshuffle(:,:,62) = 17 24 1 2 22 4 12 25 14 3 23 6 7 20 15 10 18 13 8 9 11 5 19 21 16 Fshuffle(:,:,63) = 10 12 25 20 15 11 24 13 8 16 4 5 1 2 22 23 6 19 21 9 17 18 7 14 3 Fshuffle(:,:,64) = 17 18 19 2 9 11 12 25 21 3 4 5 13 14 16 23 6 1 20 15 10 24 7 8 22 Fshuffle(:,:,65) = 10 18 7 8 16 23 5 1 20 22 11 6 25 14 15 4 24 13 2 9 17 12 19 21 3 Fshuffle(:,:,66) = 4 24 1 21 9 10 5 13 8 15 17 6 25 20 3 11 18 7 14 16 23 12 19 2 22 Fshuffle(:,:,67) = 23 5 13 21 16 4 18 19 20 22 17 12 1 8 15 10 6 25 14 9 11 24 7 2 3 Fshuffle(:,:,68) = 11 18 19 20 22 23 5 13 14 9 4 24 25 8 3 10 12 7 21 15 17 6 1 2 16 Fshuffle(:,:,69) = 11 18 7 21 15 17 5 19 2 22 4 12 25 20 16 23 6 13 8 9 10 24 1 14 3 Fshuffle(:,:,70) = 10 5 13 2 9 23 24 25 20 22 17 18 1 14 15 4 12 7 21 3 11 6 19 8 16 Fshuffle(:,:,71) = 11 12 25 21 9 17 6 19 14 15 4 18 13 8 22 23 24 7 2 3 10 5 1 20 16 Fshuffle(:,:,72) = 23 12 7 14 16 11 18 25 2 15 10 6 19 8 22 4 24 1 20 3 17 5 13 21 9 Fshuffle(:,:,73) = 23 6 7 20 16 4 18 25 2 3 11 12 19 14 22 10 24 13 21 9 17 5 1 8 15 Fshuffle(:,:,74) = 11 12 1 2 16 23 24 19 21 15 4 5 25 20 3 17 6 7 14 22 10 18 13 8 9 Fshuffle(:,:,75) = 11 6 1 20 22 10 24 25 21 15 23 18 19 2 9 4 12 13 14 3 17 5 7 8 16 Fshuffle(:,:,76) = 23 5 1 20 9 17 6 7 2 3 10 24 25 21 22 4 18 19 14 15 11 12 13 8 16 Fshuffle(:,:,77) = 4 18 25 2 3 11 5 13 21 16 10 12 7 8 15 17 6 19 14 9 23 24 1 20 22 Fshuffle(:,:,78) = 10 18 19 2 3 11 5 13 21 22 4 12 1 20 15 17 6 25 8 16 23 24 7 14 9 Fshuffle(:,:,79) = 10 6 25 20 3 11 5 7 14 15 23 18 13 8 22 4 24 1 2 16 17 12 19 21 9 Fshuffle(:,:,80) = 11 12 19 2 15 10 24 1 21 3 17 6 7 8 9 4 5 13 20 22 23 18 25 14 16 Fshuffle(:,:,81) = 11 5 13 2 9 17 24 25 8 15 10 12 7 20 3 4 18 19 14 22 23 6 1 21 16 Fshuffle(:,:,82) = 4 24 1 14 9 11 6 13 21 16 23 12 19 8 3 17 5 25 2 22 10 18 7 20 15 Fshuffle(:,:,83) = 17 18 25 20 22 11 6 7 8 15 23 5 19 2 9 10 24 13 14 3 4 12 1 21 16 Fshuffle(:,:,84) = 11 12 19 14 15 10 18 7 21 22 17 24 25 8 16 23 5 13 2 3 4 6 1 20 9 Fshuffle(:,:,85) = 10 24 13 21 3 17 5 7 20 22 4 12 1 2 15 11 6 19 8 16 23 18 25 14 9 Fshuffle(:,:,86) = 11 6 19 8 9 4 24 25 14 3 10 5 13 2 15 23 12 7 20 22 17 18 1 21 16 Fshuffle(:,:,87) = 11 5 13 20 16 23 12 1 2 15 10 18 7 21 3 4 24 25 8 9 17 6 19 14 22 Fshuffle(:,:,88) = 23 12 13 8 9 4 6 1 14 15 10 24 7 2 16 17 18 25 20 3 11 5 19 21 22 Fshuffle(:,:,89) = 4 24 19 20 9 23 5 1 21 22 11 6 7 14 3 10 12 25 2 15 17 18 13 8 16 Fshuffle(:,:,90) = 11 12 19 2 9 10 24 1 8 3 17 5 13 14 16 23 6 7 20 22 4 18 25 21 15 Fshuffle(:,:,91) = 17 6 19 2 9 10 12 25 21 22 23 18 1 14 3 11 24 13 20 15 4 5 7 8 16 Fshuffle(:,:,92) = 10 24 7 8 3 23 12 25 20 15 11 6 1 21 22 17 18 13 2 16 4 5 19 14 9 Fshuffle(:,:,93) = 23 5 19 14 9 17 24 13 8 16 4 6 7 20 15 10 12 25 21 22 11 18 1 2 3 Fshuffle(:,:,94) = 17 5 7 20 15 10 18 13 8 16 23 6 25 14 9 11 24 1 21 3 4 12 19 2 22 Fshuffle(:,:,95) = 11 12 19 21 3 17 5 7 8 16 23 6 1 20 15 10 18 13 2 22 4 24 25 14 9 Fshuffle(:,:,96) = 10 18 1 20 3 23 5 19 14 22 11 6 25 2 15 17 24 13 21 9 4 12 7 8 16 Fshuffle(:,:,97) = 4 6 13 14 16 23 5 19 20 3 10 18 7 2 9 17 12 25 8 15 11 24 1 21 22 Fshuffle(:,:,98) = 11 5 7 8 15 23 24 19 21 3 10 6 1 2 9 4 12 25 14 16 17 18 13 20 22 Fshuffle(:,:,99) = 17 24 13 20 9 11 12 7 14 3 10 5 19 2 16 4 18 1 8 22 23 6 25 21 15 Fshuffle(:,:,100) = 4 18 1 20 22 23 24 13 8 16 17 12 7 2 3 10 6 19 14 15 11 5 25 21 9

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更多回答（1 个）

Voss
Voss 2024-1-8
Looks like this is what you are going for:
[m,n]=size(F); % F = 582x255 matrix
for i = 1:n
C_i = F(:,i);
C_i_s = C_i(randperm(m));
F(:,i) = C_i_s;
end
And it can be written more succinctly wihout the temporary variables:
[m,n]=size(F); % F = 582x255 matrix
for i = 1:n
F(:,i) = F(randperm(m),i);
end
  2 个评论
Joyce Oerlemans
Joyce Oerlemans 2024-1-9
Hallo Voss,
thank you very much for your quick response. Could you elaborate a little bit more how I should interpret the output? Is it one possible matrix or does this give all possible matrices at once?
Thank you very much!
Voss
Voss 2024-1-9
It is one matrix. Each column of F is shuffled separately one time and stored back in F.

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