Samantha asked . 2020-07-24

Combination of rows of two different matrices

Sorry if this is a repeated question but I failed to find an answer myself. I have two matrices:

A = [-0.6, -0.2;
     -60,   2;
      6,   -20];
 
B = [-0.4, -0.8;
     -40,   8;
      4,   -80];

I want to find all the possible combinations of sum of each row (sum of individual elements of a row) of A with each row of B, i.e., my desired result is (order does not matter):

ans = [-1,     -1;
       -40.6,   7.8;
        3.4,   -80.2;
       -60.4,   1.2;
       -100,    10;
       -56,    -78;
        5.6,   -20.8;
       -34,    -12;
        10,    -100];

which is a 9 x 2 matrix resulting from 9(=3 x 3 )possible combinations of A and B.

matrix , matlab , matlabsolutions

Expert Answer

Kshitij Singh answered . 2024-12-21 16:19:47

Feels non-ideal. Any better solution?

>> C=A(:,1)+B(:,1)';
D=A(:,2)+B(:,2)';
reshape([C(:),D(:)],[],2)
ans =
   -1.0000   -1.0000
  -60.4000    1.2000
    5.6000  -20.8000
  -40.6000    7.8000
 -100.0000   10.0000
  -34.0000  -12.0000
    3.4000  -80.2000
  -56.0000  -78.0000
   10.0000 -100.0000

better one

>> m=size(A,1);
ind1=repmat(1:m,1,m);
ind2=repelem(1:m,m);
A(ind1,:)+B(ind2,:)
ans =
   -1.0000   -1.0000
  -60.4000    1.2000
    5.6000  -20.8000
  -40.6000    7.8000
 -100.0000   10.0000
  -34.0000  -12.0000
    3.4000  -80.2000
  -56.0000  -78.0000
   10.0000 -100.0000

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