Convolution of two matrices

Let A,B,C,D, are vectors of size 3*1.

S=[A*B,C*D]. Here * is linear convolution. How to rearrange A,C together and B,D together to maintain the S result as same. Need help on this.

Answer 1

[William Rose]

@Murali Krishna AG,

A=rand(3,1); B=rand(3,1); C=rand(3,1); D=rand(3,1);
S1=[conv(A,B),conv(C,D)]; disp(S1)

    0.5964    0.1768
    0.9829    0.2741
    1.4273    0.8505
    0.8930    0.3858
    0.4464    0.3428

S2=[conv(B,A),conv(D,C)]; disp(S2)

    0.5964    0.1768
    0.9829    0.2741
    1.4273    0.8505
    0.8930    0.3858
    0.4464    0.3428

Do you consider this to be a rearrangment of A,C and B,D? It maintains S.

[Murali Krishna AG]

No, I want to rearrange A & C in a matrix and B & D in another matrix.