MATLAB: How to generate a hankel and toeplitz array of blocks from three series

Question

How to generate a matrix of H and a matrix of T, and my matrix to generate these other two has dimension 3×5

1  2  3  4  5 
6  7  8  9  10
11 12 13 14 15 

with the H 4×4 block matrix with columns vectors being

[1 6 11]'  [2 7 12]'  [3 8 13]'  [4 9 14]'
[0 0 0 ]'  [1 6 11]'  [2 7 12]'  [3 8 13]'
[0 0 0 ]'  [0 0 0 ]'  [1 6 11]'  [2 7 12]'
[0 0 0 ]'  [0 0 0 ]'  [0 0 0 ]'  [1 6 11]'

with the T 4×4 block matrix with columns vectors being

[2 7 12]'   [3 8 13]'   [4  9 14]'   [5 10 15]'
[3 8 13]'   [4 9 14]'   [5 10 15]'  [0 0  0 ]'
[4 9 14]'   [5 10 15]'  [0 0  0 ]'  [0 0  0 ]'
[5 10 15]'  [0 0  0 ]'  [0 0  0 ]'  [0 0  0 ]'

Thus, the matrices of H and T have this behavior described in the last two matrices. Thanks any help!

PS:I did a previous post only that I had not considered the block array and Matt J was very kind in helping me, but actually to be able to perform the system ID would have that array of blocks.

In this case as I would for instead of just picking the first row, I get all the row and first column, all rows and second column and so on until the next but last column, in the case of the Toeplitz array

H=hankel(A(1,2:4))

T=triu(toeplitz(A(1,1:3)))

Answer 1

A = [1  2  3  4  5
6  7  8  9  10
11 12 13 14 15 ];
[m,n] = size(A);
C = num2cell(A,1);
ii = triu(toeplitz(1:n-1));
H = repmat({zeros(m,1)},n-1);
lo = triu(true(n-1));
H(lo) = C(ii(lo))
jj = hankel(2:n);
T = repmat({zeros(m,1)},n-1);
lo = jj > 0;
T(lo) = C(jj(lo))