Can somebody please show me how to expand this double sum or verify if the following solution is correct?

This is my attempt but I'm not sure if it's correct:

(g11*v1*j1)+(g12*v1*j2)+(g13*v1*j3)+(g21*v2*j1)+(g 22*v2*j2)+(g23*v2*j3)+(g31*v3*j1)+(g32*v3*j2)+(g33 *v3*j3)

Where * indicates standard multiplication.

Thanks for any help!