We want to create a random 20x20 circulant matrix. Please help!

We want to generate a random 20x20 circulant matrix in MatLab. It should be symmetric. Then we should calculate its eigenvalues. We have no experience and this is our graduation project, so it's important for us. Please help!

Answer 1

[sixwwwwww]

you can do it as follows:

a = randi(100, 20, 1);
b = [];
for i = 1:20
    b = [b, a];
    a = circshift(a, 1);
end
disp(b)

[Ezgi]

Thanks a lot! That was exactly what we need! But also we need to calculate its eigenvalues.:)

[sixwwwwww]

You are welcome. For eigenvalues and eigenvectors you can see the following link for information:

http://www.mathworks.com/help/matlab/ref/eig.html

[Emmanuel Ijiga]

M = 20;

input = randi([0 15], 1, M); %Random Input values between 0 and 15
CM = zeros(M,M); %Initialize Circulant Matrix (CM)
CM(1,:) = input; %place the input values in the first row of CM
for kk = 1:(size(CM,1) - 1)
    CM(kk+1,1) = CM(kk,end);
    CM(kk+1,2:end) = CM([kk],[1:end - 1])
end