Column Circulant Matrix

A circulant matrix is a square matrix generated from a vector as the first row (or column). Successive rows use the same elements as the first row, but each such row is circularly shifted by one element.

For more detail , check the below link:

https://en.wikipedia.org/wiki/Circulant_matrix

Problem Statement:

Create a matrix X, where each column is a shifted copy of the vector v

in->v = (1:5)';

v=

     1

     2

     3

     4

     5

out-> [1 5 4 3 2;2 1 5 4 3;3 2 1 5 4;4 3 2 1 5;5 4 3 2 1]

     1     5     4     3     2

     2     1     5     4     3

     3     2     1     5     4

     4     3     2     1     5

     5     4     3     2     1

MATLAB CODE:

clc
clear all
close all
z=[];
h=input('Enter the array:');
z=[z h'];
a=h;
for i=1:length(h)-1
    a=ci(a);
    z=[z a'];
end
disp(z);

Function :

function a=ci(m)

x1=m;

a=[];

c=length(x1);

a=[a x1(c)];

for i=1:length(x1)-1

    a=[a x1(i)];

end

end

Explanation:

Output:

[Try with other inputs :-)]