# Are constant numbers (rank-0 tensors that are fixed) considered as symmetric tensors?

So there are some interesting symmetric rank 0 tensors, for example the Kronecker delta ..... But my question is more simple than that..... Is a number like 1 , 5, e , etc considered symmetric? I would say yes, but I was recently told no in my physics class

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I would also say yes. –  Berci Oct 18 '12 at 10:11
The Kronecker delta is a rank 2 tensor. –  Nick Mar 30 '13 at 2:25

## 1 Answer

Scalars do not have the property of symmetry. However, a 1 dimensional 2nd rank tensor, or equivalently, it's representation as a 1x1 matrix $[x]$ is symmetric.

A complex 1x1 matrix $[x]$ where x is real is Hermitian.
A complex 1x1 matrix $[x]$ where x is pure imaginary is antihermitian.

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