How to construct a block diagonal combined with another block diagonal with an off diagonal?

I am trying to get a matrix in the form

B 0 0 -I 0 0

0 B 0 A -I 0

0 0 B 0 A -I

with vectors: B = [5; 10]

A = [2 3; 8 6]

-I = [-1 0; 0 -1]

I used the code below for the scalar case but I am having trouble using it with vectors clear

A=0.95; B=.5; N=5;

A0=[B*eye(N) -eye(N)] for k=1:N-1 A0(k+1,N+k)=A; end

Output:

.5 0 0 -1 0 0

0 .5 0 .95 -1 0

0 0 .5 0 .95 -1

Any help will be greatly appreciated

Thanks in advance.

Answer 1

[Andrei Bobrov]

M = {[5; 10], [2 3; 8 6],-eye(2)}
ii = tril(toeplitz ([3,2,0]))
v = zeros(size(i2));
for jj = 2:3
    t = ii == jj; 
    v(t) = repmat(M{jj},1,jj); 
end
out = [kron(eye(3),M{1}),v];