1. ## Expand Double Summation

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!

2. ## Re: Expand Double Summation

Originally Posted by divinelogos
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.
Here are the first four terms:
$g_{11}v_1w_1+g_{12}v_1w_2+g_{13}v_1w_3+g_{21}v_2w_ 1+\cdots$

3. ## Re: Expand Double Summation

Originally Posted by Plato
Here are the first four terms:
$g_{11}v_1w_1+g_{12}v_1w_2+g_{13}v_1w_3+g_{21}v_2w_ 1+\cdots$
Ah yes...that looks right. My j's should be w's. Thanks Plato!