Same Rows between two matrix

How do I find matricies with the same rows? I need to find unque Matricies.

A = [1 2; 3 4; 6 7], B = [3 4; 1 2; 6 7], C = [7 8; 8 2; 1 3], D = [1 2; 1 2; 6 7]

• A is considered the same as B, since A(1,:) = B(2,:), A(2,:) = B(1,:) and A(3,:) = B(3,:).
• A and B is not the same as C, since the rows do not match.
• A, B is not considered the same as D, even when D(1,:) = A(1,:) but also D(2,:) = A(1,:).
• Each rows (in matrix X) should correspond to the other row (in matrix Y).
• all matrix have the same size.

Using the above rules, I only need unique matrix, so output should be just A, C and D. (I dont need index, but ok with it outputing index)

[Sayid Bajrai Nasir]

Just to be clear, elements in each row can be sorted:

C = [7 8; 8 2; 1 3] => C = [7 8; 2 8; 1 3] these are considered the same.

Answer 1

[David Hill]

isequal(sortrows(A),sortrows(B));

[David Hill]

isequal(sortrows(sort(A,2)),sortrows(sort(B,2));

[Sayid Bajrai Nasir]

Thanks it seems to work for now.

Answer 2

[per isakson]

See setdiff, Set difference of two arrays and try

>> setdiff( A, B, 'rows' )
ans =
  0×2 empty double matrix
>> setdiff( A, C, 'rows' )
ans =
     1     2
     3     4

"Same Rows between two matrix" see union, Set union of two arrays

[Sayid Bajrai Nasir]

This may have been my fault for not using a clearer example, If we consider

X = [1 2; 3 4; 1 2; 3 4], Y = [1 2; 1 2; 1 2; 3 4];

setdiff( X, Y, 'rows' )

ans =

0×2 empty double matrix

But X and Y are not considered the same, and the output would be both X and Y, not just X