# How to simplify the curl of a second-order-tensor times a vector.>

I have the following equation: $$\nabla \times (\sigma E)$$ where $$\sigma$$ is a second-order tensor and $$E$$ is a vector.

I do have another equation I can substitute for $$\nabla \times E$$.

How do I simplify this to terms with $$\nabla \times E$$, so without $$\sigma$$ inside the curl?

• If $\sigma$ is a constant tensor, then we simply have $\nabla \times (\sigma E) = \sigma(\nabla \times E)$. – Omnomnomnom May 18 at 23:41