My textbook (regarding continuum mechanics) has the following identity that is supposed to be true for all tensors:(adsbygoogle = window.adsbygoogle || []).push({});

a[itex]\cdot[/itex]Tb=b[itex]\cdot[/itex]T^{T}a

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 computeTbfirst and then computer the dot product ofa[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.

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# Transpose of a Tensor Identity

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