Matrix is generating one larger than it should be

Question

William 2025-5-1

0
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https://ww2.mathworks.cn/matlabcentral/answers/2176821-matrix-is-generating-one-larger-than-it-should-be

评论： William 2025-5-1

Hey there, I'm trying to compare two matrixes, one of which is generated from the other. But the first matrix I make is n by x+1 larger than the second, and I can't seem to figure out what is making it one larger. I've already tried fiddling with when my for loop ends.

function [q]= gen_state(sigx,sigy,Z,T,q0) % sig x and y are noise, like wind, inside system
% Z is number of time points, Y is time between each point, q0 is the
% inital values matrix to put into A
q=zeros(4,Z+1);
x=randn(4,Z+1);
q(:,1)=q0;% SEts first q = to 0
A=[1,T,0,0;0,1,0,0;0,0,1,T;0,0,0,1]; %Creation of A matrix:
B=[0,0,0,0;0,sigx,0,0;0,0,0,0;0,0,0,sigy]; %Creation of B matrix:
for n=1:Z-1
    q(:,n+1)=A*q(:,n)+B*x(:,n);
end