Compute the cumulative product of the elements in a vector. The cumulative produ

Question

Compute the cumulative product of the elements in a vector. The cumulative product of the j th element of the vector x, x_j, is defined by: P_j = x_1x_2x_3 ... x_j for j = 1: length of the vector x. create 2 different versions of this function: I. One that uses two for-loops to explicitly carry out the calculations, element by element. An "inner" loop should accumulate the product and an "outer" loop should move through the elements of the vector p. II. One that uses the built-in function prod to replace the inner loop. In each case, you can check your results with the built-in function, compared.

Explanation / Answer

Matlab code

x = [1 1 1 1 1 2 3 4 5 6]; % Create a vector x
N = length(x);
% Part I.
   for j =1:N % Selecting jth element
       P(j) = 1;
       for k = 1:j % Taking numbers from 1 to j
           P(j) = P(j)*x(k); % Finding product
       end
   end
   disp('First version result');
   disp(P);
% part II
   for j = 1:N
       P(j) = prod(x(1:j)); % Finding product
   end
   disp('Second version result');
   disp(P);
% Using cumprod
P = cumprod(x);
disp('First version result');
disp(P);

OUTPUT

First version result
     1     1     1     1     1     2     6    24   120   720

Second version result
     1     1     1     1     1     2     6    24   120   720

First version result
     1     1     1     1     1     2     6    24   120   720

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