  In this paper quantitative weighted matrix estimates for vector valued
extensions of $L^{r'}$-H\"ormander operators and rough singular integrals are
studied. Strong type $(p,p)$ estimates, endpoint estimates, and some new
results on Coifman-Fefferman estimates assuming $A_\infty$ and $C_p$ condition
counterparts are provided. To prove the aforementioned estimates we rely upon
some suitable convex body domination results that we settle as well in this
paper.
