Adding two matrixes with different row numbers.

Technical Source
1 min readOct 12, 2021

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Hi Matlabsolution community!

I have a matrix A(mxn) and a matrix B(lxn) such as:

A = [1,2,3,4,5,6,7,8,9,10; 10,11,12,13,14,15,16,17,18,19; 19,20,21,22,23,24,25,26,27,28];
B = [1,2,3,4,5,6,7,8,9,10; 2,4,6,8,10,12,14,18,18,20];

I’d like to get an output such as:

out = [sum(A(1,:),B(1,:)); sum(A(1,:),B(2,:)); sum(A(2,:),B(1,:)); sum(A(2,:),B(2,:)); sum(A(3,:),B(1,:)); sum(A(3,:),B(2,:))];

Any idea about how I could code this efficiently?

ANSWER

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Following your output image,

out = [sum(A(1,:),B(1,:)); sum(A(1,:),B(2,:)); sum(A(2,:),B(1,:)); sum(A(2,:),B(2,:)); sum(A(3,:),B(1,:)); sum(A(3,:),B(2,:))];

the code is like below

A = [1,2,3,4,5,6,7,8,9,10; 10,11,12,13,14,15,16,17,18,19; 19,20,21,22,23,24,25,26,27,28];
B = [1,2,3,4,5,6,7,8,9,10; 2,4,6,8,10,12,14,18,18,20];
A_sum = sum(A,2);
B_sum = sum(B,2);
for i = 1:length(A_sum)
for j = 1:length(B_sum)
C(i,j) = A_sum(i) + B_sum(j);
end
end
out = rehape(C,[],1);

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Technical Source
Technical Source

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