Summation Convention

If in a term, an index appears twice, there is a summation involving that index.

As stated this applies to both Matrix Notation and Index Notation.

You may recall back to a course like Matrix Algebra or Linear Algebra where we had the following notation for the multiplication of matrices A and B:

A_{mn}B_{np} = C_{mp}

If we were writing Index Notation we would have one n in a superscript position and one n in a subscript position.