create the 3-by-3 matrix b defined by the elements b(i,j)= a(i,j)+sin(2+a(i,j)^2) in matlab

Assuming that matrix a is already defined, the 3-by-3 matrix b can be created using the following code:

main.m
a = [1 2 3; 4 5 6; 7 8 9]; % sample input matrix
b = zeros(3); % initialize b as a 3-by-3 matrix of zeros

for i = 1:3
    for j = 1:3
        b(i,j) = a(i,j) + sin(2 + a(i,j)^2);
    end
end

disp(b); % display resulting matrix b
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This code creates an initial 3-by-3 matrix b filled with zeros, then loops through each element of a, computes the corresponding element of b using the given formula, and assigns that value to b(i,j). The resulting b matrix is then displayed using the disp function.