In Einstein notation, is it important in which order the indexes are placed? For example, are the two expressions $\displaystyle {a^i}_j$ and $\displaystyle {a_j}^i$ equivalent to each other?

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- Mar 11th 2013, 12:00 PMTriKriEinstein notation index order
In Einstein notation, is it important in which order the indexes are placed? For example, are the two expressions $\displaystyle {a^i}_j$ and $\displaystyle {a_j}^i$ equivalent to each other?