MATLAB: Matlab function for cumulative power

matrix array

Is there a function in MATLAB that generates the following matrix for a given scalar r, where each row behaves somewhat like a power analog of the CUMSUM function?:
1 r r^2 r^3 ... r^n 
0 1 r   r^2 ... r^(n-1)
0 0 1   r   ... r^(n-2)
...
0 0 0   0   ... 1

Best Answer

Try the following code. By changing r and n values, you can see the corresponding results.
r=9;n=4;
A=zeros(n+1,n+1);
for i=1:size(A,1)
    for j=1:size(A,2)
        if (j-i)<0
            A(i,j)=0;
        else
            A(i,j)=r^(j-i);
        end
    end
end
A
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