Using matlab notation, use loops to create matrix B.. in which the value of each

Question

Using matlab notation, use loops to create matrix B.. in which the value of each element is the corresponding value in matrix A divided by the sum of its indices (the row number and column number of the element). For example, value of element (1,1) in B matrix is 10/(1 + 1) = 5.

Problem 1: (10 pts) 10 0 -5 -1 0 1 5 3 5 0 -1 -1 1 7 7 4 6 9 -2 2 3 8 Use loops to create matrix B in which the value of each element is the corresponding value in matrix A divided by the sum of its indices (the row number and column number of the element). For example, value of element (1,1) in B matrix is 10/(1 1) 5

Explanation / Answer

%matlab code

A = [10 0 -5 -1 0 1; 5 3 5 0 -1 -1; -3 -1 7 3 -7 4; 6 9 -3 3 -3 8];
[n m] = size(A);
B = zeros(n,m);

for i=1:n
for j=1:m
% matrix A divided by the sum of its indices (the row number and column number of the element
B(i,j) = A(i,j)/(i+j);
end
end

disp(B);
%{
output:

5.00000 0.00000 -1.25000 -0.20000 0.00000 0.14286
1.66667 0.75000 1.00000 0.00000 -0.14286 -0.12500
-0.75000 -0.20000 1.16667 0.42857 -0.87500 0.44444
1.20000 1.50000 -0.42857 0.37500 -0.33333 0.80000
%}

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