sum of rand matrix equal to zero

Dear All,

I want to generate matrix A ,i.e. n by n random matrix but the sum(sum(A)) = zero. Help in this regard will be highly appreciated........

Regards..........

Answer 1

[Hooman Habibi]

Subtract the mean from the samples:

n=10; z=randn(n,n); z=z-sum(sum(z))/(n*n); sum(sum(z))

[Offroad Jeep]

Can you please check the attached problem.

http://www.mathworks.com/matlabcentral/answers/contributors/4899830-4-x-4/questions?s_tid=gn_mlc_ans_myq

Answer 2

[Bus141]

The command randn pulls from a normal distribution with distribution N(0,1), implying with a large enough sample the mean should be zero. The sum of all dimensions should also converge toward zero since the values above and below the mean will cancel each other out, as they have equal probability.

[Offroad Jeep]

Can you please check the attached problem.

http://www.mathworks.com/matlabcentral/answers/contributors/4899830-4-x-4/questions?s_tid=gn_mlc_ans_myq

Answer 3

[Michael Haderlein]

What kind of random distribution do you want? Here I use normal distribution, for other distributions just replace randn by the respective function:

n=100;
A=randn(100);
B=A-mean(A(:));
sum(B(:))
ans =

   3.8913e-13

That's not exactly zero, but you'll not easily come close due to numerical precision.

[Offroad Jeep]

Can you please check the attached problem.

http://www.mathworks.com/matlabcentral/answers/contributors/4899830-4-x-4/questions?s_tid=gn_mlc_ans_myq