Matrix Elements Manipulation Using Matlab

I have four matrices A, B, C and D of dimension: A=4x4; B=4x3; C=3x4; D=3x3.

A=[A11    A12    A13    A14 ;
A21      A22    A23    A24 ;
A31     A32     A33     A34 ;
A41     A42    A43     A44 ];

Elements of A matrix (like A11, A12 ...) with the indexing are shown. The other matrices also have the elements in a similar fashion (like B11, B12, ...for the B-Matrix and it applies to other remaining matrices).

Problem: I want to construct a bigger matrix of dimension 7x7 from it in the following way:
1.  Place B11 in between A11 and A12; B12 in between A12 and A13 and so on.
2.  Place C11 in between A11 and A21; C12 in between A12 and A22 and so on.
3.  Place D11 in between C11 and C12; D12 in between C12 and C13 and so on.

Finally the matrix should look like:

H=[ A11   B11   A12   B12   A13   B13   A14;
      C11   D11   C12   D12   C13   D13   C14;
      A21   B21   A22   B22   A23   B23   A24;
      C21   D21   C22   D22   C23   D23   C24;
      A31   B31   A32   B32   A33   B33   A34;
     C31   D31   C32   D32   C33   D33   C34;
     A41   B41   A42   B42   A43   B43   A44];

I would be very grateful if anybody helps me in implementing the same using Matlab command.

Thanking You!

Answer 1

[Azzi Abdelmalek]

a=zeros(4,7);
a(:,1:2:end)=A;
a(:,2:2:end)=B;
b=zeros(3,7);
b(:,1:2:end)=C;
b(:,2:2:end)=D;
out=zeros(7);
out(1:2:end,:)=a;
out(2:2:end,:)=b

[Pranjal Pathak]

Thanks a lot. This was exactly what I was looking for...

Answer 2

[Lavanikaa Mariappa]

x''(t)+2x'(t)+x(t)=0x''(t)+2x'(t)+x(t)=0 with x(0)=1x0=1 and x'(0)=1x'0=1,