Generate a matrix the shifts variables one column

I have a NxN matrix. I want to be able to define N and generate a matrix that follows this pattern. I am novice so please spare no detail.

[Adam Danz]

I think you're looking for circshift. That link contains examples and descriptions.

If that's not what you're looking for, please elaborate.

Answer 1

[weikang zhao]

some error: The matrix given in the picture is a (N+1)*(N+1) matrix. The (2,0) element of the matrix is not given, I assume it is 0. This matrix looks like a Markov probability transition matrix, so I am not sure if qi here is a fixed value or i is a subscript of an array. I assume that these are all fixed values.

for example, if p0, qi,ri,pi&N are given, you can get the matrix you want by:

p0=0.2;
qi=0.3;
ri=0.4;
pi=0.5;
N=5;
temp=toeplitz([ri,qi,zeros(1,N-1)],[ri,pi,zeros(1,N-1)]).';
mat=[[1-p0,p0,zeros(1,N-1)];temp(2:end,:)];

have fun