## Symmetric traceless tensor

Hi everybody,

With the use of two vectors $v^i$ and $v^i$, and $\delta^{ij}$, how can I construct two linearly independent rank 2 basis tensors which are symmetric and traceless? (i,j running over 1-2)

Any symmetric traceless 2x2 matrix can be written as a linear combination of diag(1,-1) and offdiag(1,1), but how can I construct a basis with the given set of vectors and tensors above?

Thanks for taking the time to read and I hope I made myself clear enough.

Cheers
 PhysOrg.com mathematics news on PhysOrg.com >> Pendulum swings back on 350-year-old mathematical mystery>> Bayesian statistics theorem holds its own - but use with caution>> Math technique de-clutters cancer-cell data, revealing tumor evolution, treatment leads

 Similar discussions for: Symmetric traceless tensor Thread Forum Replies Calculus & Beyond Homework 1 Special & General Relativity 28 Calculus & Beyond Homework 6 Calculus & Beyond Homework 1 Advanced Physics Homework 9