Chapter 10.3, Problem 10P

Prove the quotient rule in each of the following problems, that is, given XA = A where A is any arbitrary tensor and $B$ is a non-zero tensor, show that $X$ is a tensor. Hints: Follow the general method in (3.6) to

(3.9). See the last sentence of the section.

$X_i{A}_j=B_{ij}$