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By mistake I used same letter for label & index i.e. 'n'.
For clarification
'i' vary from 1 to N in step of 1
'j' vary 1 to N in step of 1
'm' & 'n' summation index will go from 0 to 3 in step of 1
And the result will be a scalar as you have rigthly pointed out.
Waiting for the solution
(The corrected eq. is given in attached file)
I can acknowledge you as my maths teacher, if you solve even a trivial problem like this
(In eq. there was a little mistake, for correction see the attachement)