  Biquandle brackets are a type of quantum enhancement of the biquandle
counting invariant for oriented knots and links, defined by a set of skein
relations with coefficients which are functions of biquandle colors at a
crossing. In this paper we use biquandle brackets to enhance the biquandle
counting matrix invariant defined by the first two authors in arXiv:1803.11308.
We provide examples to illustrate the method of calcuation and to show that the
new invariants are stronger than the previous ones.
