How to sum each column element of one matrix with all column elements of another matrix?

Sorry I cannot formulate my question in a clearer way. Here is what I want to do: A = [ a, b; c, d ] and B = [ i, j; k, l ] I want to get: C = [ (a+i), (b+j); (a+k), (b+l); (c+i), (d+j); (c+k), (d+l) ]. Thank you in advance.

Answer 1

[Anton Semechko]

Do

kron([a b;c d],[1;1]) + kron([1;1],[i j;k l])

Here is an example using symbolic expressions

syms a b c d i j k l
kron([a b;c d],[1;1]) + kron([1;1],[i j;k l])

ans =
[ a + i, b + j]
[ a + k, b + l]
[ c + i, d + j]
[ c + k, d + l]

[Jakov Simjanoski]

Works like a dream. Thank you so much.

[Anton Semechko]

You are welcome, Jakov

[Jakov Simjanoski]

Hello again Anton, sorry, I realized that it works with 2x2 matrices but I need it for n x n matrix (450x450 in particular). Can you help me?

[Anton Semechko]

Suppose A and B are your two matrices (where A and B are the equivalents of [a b; c d] and [i j;k l], respectively). Do:

 N=size(A,1);
 C=kron(A,ones(N,1)) + kron(ones(N,1),B);

[Jakov Simjanoski]

Thank you again!

[vinjamoori vikas]

Sir, I have total six matrices each with the size 4x4. I want to add all the combinations of the columns.

That means each column of one matrix with each other column of other matrices. I should get total of 4^6 summed vectors. Please suggest me something.