construct a matrix with element to be the sum in matlab

To construct a matrix with elements that are the sum of their row and column indices, we can use the following MATLAB code:

main.m
n = 4;          % size of the matrix
A = zeros(n);   % initialize matrix with zeros

for i = 1:n
    for j = 1:n
        A(i,j) = i + j;  % assign sum of row and column indices to each element
    end
end
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Here, we first initialize a square matrix of size n with zeros using the zeros function. Then, we use two nested for loops to iterate over each element in the matrix. For each element, we assign the sum of its row index i and column index j to that element. Finally, the resulting matrix A is constructed.

This method can be extended to construct matrices with other desired element-wise operations by modifying the assignment statement.