Matrix rows and columns swapping

I want to completely change rows and column simultaneously (please see the picture attached)

Is there a function which can do this?

Thanks,

Rakesh

[Logan Hall]

For anyone who is looking to swap an array:

Array = Array.';

btw sorry for reviving a dead thread.

[Walter Roberson]

@Logan Hall

That does not solve the user's problem at all. The user needs the upper left corner (a 1 in their data) to go to the middle, but using .' would leave the upper left corner exactly where it is.

Answer 1

[Walter Roberson]

There is no function that can do that simultaneously, at least not the first time.

For any given row and column exchange pattern, it is possible to pre-process the pattern so that doing the same exchange for multiple different arrays would take place simultaneously for that one matrix. Something like

temp = preprocess_exchange(rows_to_exchange, columns_to_exchange);
newA = A(temp);
newB = B(temp);

where preprocess_exchange is a function that would need to be written.

[Walter Roberson]

I should correct myself: you can do this with indexing.

>> A = [1 2 3;4 5 6;7 8 9]

A =

     1     2     3
     4     5     6
     7     8     9

>> A([2 1 3],[2 1 3])

ans =

     5     4     6
     2     1     3
     8     7     9

[Rakesh Belchandan]

Thanks. That works for me.

Answer 2

[Akira Agata]

I don't think rows and column can be randomly changed simultaneously.

There should be at least 2 steps, like this:

% Input 3-by-3 matrix
A = reshape(1:9,3,3)';

% Randomize rows and columns
A = A(randperm(3),:);
A = A(:,randperm(3));

[Rakesh Belchandan]

Thanks.

Answer 3

[Franco Garcia]

You can actually do that easily with just proper indexing. According to the example in the attachment:

A=[1,2,3;4,5,6;7,8,9] % The input in your example

A = 3×3

1 2 3 4 5 6 7 8 9

B=A([2,1,3],[2,1,3]) % Your expected output

B = 3×3

5 4 6 2 1 3 8 7 9

Regards!

[Walter Roberson]

I gave the indexing solution at https://www.mathworks.com/matlabcentral/answers/490529-matrix-rows-and-columns-swapping#comment_766334