A tensor divergence analogy of the above trick can easily be found.
Using Einstein summation convention, one can write tensors on the
LHS whose divergence gives vectors on the RHS,

Remember that Roman indices are spatial, whereas Greek indices label coefficients. Note that the vector of vectors does contain some different functions than from Section H.2.1. The matrix determinant is det , the same as for . The tensor Gauss' theorem is

(H.17) |

(H.18) |

Again, singular solutions can still be found when . The full consequences of these types of matrix relations have not been explored.