How to create an Nn x Nn matrix from N number of matrices of n x n size each?

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Here Xv is a 3x3 size matrix, A is a 3x3 matrix and samples = 1000 . I wish to create a 3000X3000 size matrix sigma by taking product of Xv and A and then putting the so obtained 3x3 matrix into the huge matrix of this form. I was trying this but it didnt work.
for i=1:1:samples/3
for j=1:1:samples/3
if i==j
sigma(i,j)=Xv(:,i);
elseif i<j
sigma(i,j)=Xv(:,i)*(A^(j-i))';
else
sigma(i,j)=A^(i-j)*Xv(:,i);
end
end
end

Respuesta aceptada

KSSV
KSSV el 8 de Abr. de 2022
m = fix(samples/3) ;
signma = cell(m) ;
for i=1:m
for j=1:m
if i==j
sigma{i,j}=Xv(:,i);
else
sigma{i,j}=A*Xv(:,i);
end
end
end

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