find matching rows in matrices

I want to find which rows in two matrices that are matching.

If I for example have

A =

     1     2
     4     5
     9     7
     1     2
     6     5

and

B =

     2     5
     1     2
     9     2
     1     2

I would like a result like

index_A=[1 4] index_B=[2 4].

Any idea how to solve this?

Answer 1

[Roger Stafford]

Use the 2nd and 3rd returned arguments in 'intersect':

 [~,index_A,index_B] = intersect(A,B,'rows');

Answer 2

[Andrei Bobrov]

C = intersect(A,B,'rows')
index_A= find(ismember(A,C,'rows'));
index_B= find(ismember(B,C,'rows'));

[Johan]

thanks, it's a good start, however I realised that it doesn't solve my 'real'fully, since I need index_A and index_B to be of the same length.

If

A =

     1     2
     4     5
     9     7
     1     2
     6     5
     6     5

and

B =

     2     5
     1     2
     9     2
     1     2
     6     5

this solution would give

index_A = [1 4 5 6] index_B = [2 4 5]

but I need it to be

index_A = [1 4 5] index_B = [2 4 5]

Do you know how to solve it? I'm sorry that the first example didn't cover this case.