- #1
jvicens
- 1,422
- 2
I'm having some trouble to prove the following tensor identity shown below in Einstein's summation convention:
[tex](a_{ij}+a_{ji})x_{i}x_{j}=2a_{ij}x_{i}x_{j}[/tex]
I expanded the terms but when I did group them I didn't get the identity. The only way I could get the identity is if
[tex]a_{ij}=a_{ji}[/tex]
and I don't see a reason why this would be so.
Obviously I'm missing something. Can somebody tell what is it that I'm doing wrong?
[tex](a_{ij}+a_{ji})x_{i}x_{j}=2a_{ij}x_{i}x_{j}[/tex]
I expanded the terms but when I did group them I didn't get the identity. The only way I could get the identity is if
[tex]a_{ij}=a_{ji}[/tex]
and I don't see a reason why this would be so.
Obviously I'm missing something. Can somebody tell what is it that I'm doing wrong?