- #1
Benny
- 584
- 0
Hi, can someone please tell me whether or not I can switch the 'order' of the indices over which a double sum is taken? To clarify, my question is whether or not the following is true.
[tex]
\sum\limits_{j = 1}^n {\sum\limits_{i = 1}^n {\left( {a_i b_j } \right)} } \mathop = \limits^? \sum\limits_{i = 1}^n {\sum\limits_{j = 1}^n {\left( {a_i b_j } \right)} }
[/tex]
Any help would be appreciated.
[tex]
\sum\limits_{j = 1}^n {\sum\limits_{i = 1}^n {\left( {a_i b_j } \right)} } \mathop = \limits^? \sum\limits_{i = 1}^n {\sum\limits_{j = 1}^n {\left( {a_i b_j } \right)} }
[/tex]
Any help would be appreciated.