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## Main Question or Discussion Point

My textbook (regarding continuum mechanics) has the following identity that is supposed to be true for all tensors:

But I don't get the same result for both sides when I work it out.

For each side, I'm doing the dot product last. For example, I compute

I'm still pretty new to this subject and teaching it to myself, so I figure I'm multiplying something incorrectly, but I don't understand what.

**a**[itex]\cdot[/itex]**Tb**=**b[itex]\cdot[/itex]T**^{T}aBut I don't get the same result for both sides when I work it out.

For each side, I'm doing the dot product last. For example, I compute

**Tb**first and then computer the dot product of**a**[itex]\cdot[/itex]**Tb**. Is that right? I tried doing it the other way around also, but it didn't work out that way either.I'm still pretty new to this subject and teaching it to myself, so I figure I'm multiplying something incorrectly, but I don't understand what.