Need help on array multiplication

I need help with the following

u1=[2 3 1 0];

u2=[2 1 3 0];

u3=[2 3 1 3];

u=[u1 u2 u3];

v1=mod(u1+u3,4)=[0 2 2 3]

v2=mod(u1+u2+u3,4)=[2 3 1 3]

v3=u3=[2 3 1 3]

v4=mod(u2+u3,4)=[0 0 0 3]

GRL=[1 1 0 0;0 1 0 1;1 1 1 1];

How can I use the multiplication similar to v=u*GRL to obtain the above results?

[sushanth govinahallisathyanarayana]

Yes, but you also need mod 4 operation.

for example, v1= mod([u1,u3][1;1] , 4)

assuming u1 and u3 are column vectors